Count very carefully where we even have zeros and how many they are

## New names:
## • `` -> `...1`

Table format

Number of zero counts by country, in descending order.

ISO n
BRA 23
SGP 22
NOR 10
IND 9
TWN 8
DNK 6
BEL 5
CHN 5
FIN 5
ITA 3
RUS 3
AUT 2
CHE 2
ISR 2
CAN 1
ESP 1
KOR 1
SWE 1

Plot the distributions before and after logging -> do they look more normal?

Count

Log (y+1)

Normalization with the max

Normalization with the max by technology

Normalise by max but with respect to the max of each technology.

What is the relation from 1 patent to the max patents per country?

# Calculate max Y per country
df %>% 
  group_by(ISO, tech) %>% 
  mutate(max = max(count)) %>% 
  ggplot(aes(x = count, y = max, colour = tech)) +
  geom_point() +
  geom_abline(intercept = 0, slope = 1, linetype = "dashed", colour = "darkgrey") +  # 45-degree line for reference
  facet_wrap(~ISO) +  
  labs(title = "Relationship between Y and max Y per country",
       x = "Y",
       y = "Max Y per country") +
  theme_bw()+
  theme(legend.position = "bottom")

Models comparison

Green technologies

top_25

Count

0.01

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 17:38:09 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.4402e-01  9.0526e-03 104.2807 < 2.2e-16 ***      
                gdp           -3.0045e-13  1.3446e-13  -2.2345 0.0258757 *        
                pop            1.9659e-07  1.1923e-07   1.6489 0.0997818 .        
                idAUT          9.2670e+00  1.9399e+01   0.4777 0.6330589          
                idBEL         -1.5811e+00  1.9387e+01  -0.0816 0.9350344          
                idBRA         -4.2170e+01  2.7903e+01  -1.5113 0.1313144          
                idCAN          2.4270e+01  1.9520e+01   1.2434 0.2142924          
                idCHE          3.9639e+00  1.9404e+01   0.2043 0.8382173          
                idCHN         -1.9121e+02  1.5112e+02  -1.2653 0.2063260          
                idDEU          2.5009e+02  3.0483e+01   8.2042 1.842e-15 ***      
                idDNK          1.4380e+01  1.9434e+01   0.7400 0.4596529          
                idESP         -4.2392e+00  1.9532e+01  -0.2170 0.8282637          
                idFIN         -2.9649e-01  1.9436e+01  -0.0153 0.9878344          
                idFRA          7.0817e+01  2.1039e+01   3.3659 0.0008193 ***      
                idGBR          4.1807e+01  2.0429e+01   2.0464 0.0412163 *        
                idIND         -1.9312e+02  1.3856e+02  -1.3938 0.1639824          
                idISR         -2.0905e-01  1.9415e+01  -0.0108 0.9914131          
                idITA          1.1416e+01  1.9900e+01   0.5737 0.5664519          
                idJPN          5.1849e+02  7.4534e+01   6.9564 1.055e-11 ***      
                idKOR          3.2796e+02  1.1693e+02   2.8047 0.0052255 **       
                idNLD          1.3179e+01  1.9368e+01   0.6804 0.4965321          
                idNOR         -4.2452e+00  1.9479e+01  -0.2179 0.8275607          
                idRUS         -1.1121e+01  2.4549e+01  -0.4530 0.6507194          
                idSGP         -6.4416e+00  1.9475e+01  -0.3308 0.7409518          
                idSWE          9.7711e+00  1.9401e+01   0.5036 0.6147317          
                idTWN          3.8355e+01  1.9520e+01   1.9649 0.0499588 *        
                idUSA          3.2532e+02  4.7210e+01   6.8909 1.612e-11 ***      
                time1996      -1.0506e+01  1.9127e+01  -0.5493 0.5830693          
                time1997      -1.3473e+01  1.9102e+01  -0.7053 0.4809261          
                time1998      -4.9759e+00  1.9112e+01  -0.2604 0.7946902          
                time1999       3.8197e+00  1.9246e+01   0.1985 0.8427585          
                time2000       1.3300e+01  1.9245e+01   0.6911 0.4898242          
                time2001       6.2724e+00  1.9082e+01   0.3287 0.7425127          
                time2002      -7.7140e+00  1.9103e+01  -0.4038 0.6865179          
                time2003      -1.0733e+01  1.9357e+01  -0.5545 0.5795093          
                time2004       2.9823e+01  1.9189e+01   1.5541 0.1207596          
                time2005       2.1698e+01  1.9173e+01   1.1317 0.2582865          
                time2006       3.9547e+01  1.9204e+01   2.0593 0.0399672 *        
                time2007       5.8635e+01  1.9464e+01   3.0125 0.0027178 **       
                time2008       3.0360e+01  1.9319e+01   1.5715 0.1166771          
                time2009       5.7072e+01  1.9620e+01   2.9088 0.0037834 **       
                time2010       6.3151e+01  1.9770e+01   3.1943 0.0014867 **       
                time2011       2.9744e+01  1.9891e+01   1.4954 0.1354151          
                time2012      -5.5563e+00  1.9957e+01  -0.2784 0.7808060          
                time2013      -2.2741e+01  2.0194e+01  -1.1261 0.2606332          
                time2014      -1.3325e+01  1.9850e+01  -0.6713 0.5023334          
                time2015      -1.0729e+01  1.9889e+01  -0.5394 0.5898175          
                time2016       1.4199e+01  1.9840e+01   0.7157 0.4745066          
                time2017       2.7943e+01  2.0167e+01   1.3856 0.1664773          
                time2018       1.5163e+01  2.0033e+01   0.7569 0.4494649          
                time2019      -4.2608e+01  2.0224e+01  -2.1068 0.0356184 *        
                iis165         8.7494e+02  7.3253e+01  11.9441 < 2.2e-16 ***      
                iis166         6.7907e+02  7.5175e+01   9.0333 < 2.2e-16 ***      
                iis167         5.1781e+02  7.7200e+01   6.7073 5.193e-11 ***      
                iis168         4.1987e+02  7.9158e+01   5.3042 1.678e-07 ***      
                iis186        -4.9400e+02  7.0766e+01  -6.9808 9.009e-12 ***      
                iis388         4.4298e+02  7.2652e+01   6.0973 2.107e-09 ***      
                iis389         5.4576e+02  7.1965e+01   7.5836 1.562e-13 ***      
                iis392         3.4877e+02  7.1720e+01   4.8629 1.535e-06 ***      
                iis398         7.2681e+02  8.2408e+01   8.8197 < 2.2e-16 ***      
                iis399         1.9803e+03  8.1123e+01  24.4116 < 2.2e-16 ***      
                iis400         1.0825e+03  7.9015e+01  13.7004 < 2.2e-16 ***      
                iis402        -2.8295e+02  7.9143e+01  -3.5752 0.0003826 ***      
                iis408        -1.5275e+03  7.9131e+01 -19.3033 < 2.2e-16 ***      
                iis428        -5.6584e+02  7.3268e+01  -7.7229 5.900e-14 ***      
                iis430        -5.0421e+02  7.4768e+01  -6.7437 4.127e-11 ***      
                iis588         3.2084e+02  7.4206e+01   4.3236 1.841e-05 ***      
                iis593         8.7062e+02  8.3942e+01  10.3717 < 2.2e-16 ***      
                iis594         5.8448e+02  8.3955e+01   6.9618 1.019e-11 ***      
                iis595        -8.3691e+02  8.4174e+01  -9.9426 < 2.2e-16 ***      
                iis598        -4.3048e+02  8.3878e+01  -5.1322 4.055e-07 ***      
                iis599        -4.0598e+02  8.3909e+01  -4.8384 1.729e-06 ***      
                iis600        -6.9004e+02  8.4194e+01  -8.1959 1.958e-15 ***      
                fesisCHN.2008  2.5303e+02  3.3536e+01   7.5448 2.044e-13 ***      
                fesisJPN.2009 -1.6932e+02  5.5763e+01  -3.0363 0.0025152 **       
                fesisJPN.2016  3.8196e+02  5.6161e+01   6.8011 2.866e-11 ***      
                fesisKOR.2003  2.9984e+02  5.8570e+01   5.1193 4.327e-07 ***      
                fesisKOR.2009  6.4805e+02  6.1497e+01  10.5380 < 2.2e-16 ***      
                fesisKOR.2011 -3.3314e+02  6.5705e+01  -5.0702 5.538e-07 ***      
                fesisUSA.2005  4.0535e+02  4.4682e+01   9.0720 < 2.2e-16 ***      
                fesisUSA.2012 -3.4765e+02  5.9921e+01  -5.8018 1.142e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value          
                Ljung-Box AR(1)    2.6435  1    0.104          
                Ljung-Box ARCH(1) 31.4276  1 2.07e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    66.9905      
                R-squared            0.9988      
                Log-lik.(n=600)  -3333.5934      
0.05

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 17:38:10 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.2256e-01  8.6311e-03 106.8880 < 2.2e-16 ***      
                gdp           -1.6035e-13  1.3633e-13  -1.1762 0.2400737          
                pop            1.6959e-07  9.2716e-08   1.8291 0.0679768 .        
                idAUT          9.6429e+00  1.4584e+01   0.6612 0.5087921          
                idBEL         -3.0856e+00  1.4577e+01  -0.2117 0.8324395          
                idBRA         -4.0826e+01  2.1351e+01  -1.9121 0.0564307 .        
                idCAN          2.9774e+01  1.4729e+01   2.0215 0.0437598 *        
                idCHE          3.9505e+00  1.4588e+01   0.2708 0.7866547          
                idCHN         -1.5790e+02  1.1698e+02  -1.3498 0.1776805          
                idDEU          2.2039e+02  2.4100e+01   9.1447 < 2.2e-16 ***      
                idDNK          1.4745e+01  1.4615e+01   1.0089 0.3135167          
                idESP         -3.9985e+00  1.4694e+01  -0.2721 0.7856418          
                idFIN         -1.6658e+00  1.4613e+01  -0.1140 0.9092887          
                idFRA          8.7044e+01  1.6260e+01   5.3532 1.314e-07 ***      
                idGBR          5.3076e+01  1.5577e+01   3.4072 0.0007086 ***      
                idIND         -1.7149e+02  1.0634e+02  -1.6127 0.1074397          
                idISR         -1.5669e+00  1.4598e+01  -0.1073 0.9145664          
                idITA          1.5648e+01  1.5001e+01   1.0431 0.2973868          
                idJPN          4.2034e+02  7.1913e+01   5.8451 9.089e-09 ***      
                idKOR          2.1077e+02  1.1694e+02   1.8023 0.0720895 .        
                idNLD          1.5318e+01  1.4569e+01   1.0514 0.2935651          
                idNOR         -7.3750e+00  1.4663e+01  -0.5030 0.6152062          
                idRUS         -1.9469e+01  1.8854e+01  -1.0326 0.3022892          
                idSGP         -9.5205e+00  1.4655e+01  -0.6496 0.5162274          
                idSWE          1.0023e+01  1.4592e+01   0.6868 0.4925037          
                idTWN          4.4700e+01  1.4754e+01   3.0297 0.0025734 **       
                idUSA          3.7863e+02  3.7673e+01  10.0504 < 2.2e-16 ***      
                time1996      -4.3646e+00  1.4414e+01  -0.3028 0.7621705          
                time1997      -6.8752e+00  1.4386e+01  -0.4779 0.6329138          
                time1998      -5.8236e+00  1.4510e+01  -0.4014 0.6883212          
                time1999       7.5704e+00  1.4485e+01   0.5226 0.6014559          
                time2000       1.7340e+01  1.4480e+01   1.1975 0.2316919          
                time2001       1.6076e+01  1.4376e+01   1.1183 0.2639915          
                time2002       2.4549e+00  1.4400e+01   0.1705 0.8647042          
                time2003      -4.7497e+00  1.4615e+01  -0.3250 0.7453304          
                time2004       2.6894e+01  1.4610e+01   1.8408 0.0662360 .        
                time2005       1.8973e+01  1.4568e+01   1.3024 0.1933794          
                time2006       3.8021e+01  1.4471e+01   2.6275 0.0088640 **       
                time2007       4.1802e+01  1.4779e+01   2.8284 0.0048637 **       
                time2008       3.2323e+01  1.4602e+01   2.2136 0.0273047 *        
                time2009       5.1300e+01  1.4905e+01   3.4418 0.0006259 ***      
                time2010       6.5413e+01  1.5043e+01   4.3484 1.660e-05 ***      
                time2011       3.1848e+01  1.5108e+01   2.1080 0.0355243 *        
                time2012       1.7423e+01  1.5271e+01   1.1410 0.2544247          
                time2013      -1.2657e+01  1.5306e+01  -0.8269 0.4086717          
                time2014      -1.0025e+01  1.5151e+01  -0.6617 0.5084754          
                time2015      -1.0436e+01  1.5261e+01  -0.6838 0.4943971          
                time2016       6.9198e+00  1.5126e+01   0.4575 0.6475317          
                time2017       3.2743e+01  1.5228e+01   2.1502 0.0320167 *        
                time2018       2.5990e+01  1.5204e+01   1.7094 0.0879835 .        
                time2019      -7.1808e+00  1.5459e+01  -0.4645 0.6424830          
                iis164         2.2146e+02  5.5513e+01   3.9894 7.604e-05 ***      
                iis165         9.3417e+02  5.5970e+01  16.6906 < 2.2e-16 ***      
                iis166         7.4842e+02  5.8235e+01  12.8519 < 2.2e-16 ***      
                iis167         5.9808e+02  6.0697e+01   9.8535 < 2.2e-16 ***      
                iis168         4.8776e+02  6.3099e+01   7.7301 5.853e-14 ***      
                iis186        -2.3819e+02  7.2843e+01  -3.2699 0.0011491 **       
                iis192        -5.3214e+02  5.6648e+01  -9.3938 < 2.2e-16 ***      
                iis387         2.0859e+02  5.6913e+01   3.6650 0.0002735 ***      
                iis388         5.4409e+02  5.6379e+01   9.6505 < 2.2e-16 ***      
                iis389         6.5911e+02  5.5692e+01  11.8349 < 2.2e-16 ***      
                iis392         4.7631e+02  5.5559e+01   8.5732 < 2.2e-16 ***      
                iis393         3.6236e+02  5.5832e+01   6.4901 2.052e-10 ***      
                iis394         3.0944e+02  5.6326e+01   5.4938 6.246e-08 ***      
                iis396         4.1533e+02  5.6733e+01   7.3208 9.787e-13 ***      
                iis398         3.1434e+02  6.2412e+01   5.0365 6.609e-07 ***      
                iis399         1.5717e+03  6.1000e+01  25.7649 < 2.2e-16 ***      
                iis400         7.1472e+02  5.9691e+01  11.9738 < 2.2e-16 ***      
                iis401        -4.1024e+02  6.0599e+01  -6.7697 3.592e-11 ***      
                iis402        -6.5017e+02  6.0026e+01 -10.8316 < 2.2e-16 ***      
                iis403        -2.6125e+02  5.9566e+01  -4.3859 1.406e-05 ***      
                iis404        -4.4789e+02  5.9505e+01  -7.5268 2.405e-13 ***      
                iis408        -1.5544e+03  5.9572e+01 -26.0929 < 2.2e-16 ***      
                iis422         4.2218e+02  6.4709e+01   6.5242 1.664e-10 ***      
                iis423         2.7694e+02  5.9869e+01   4.6257 4.749e-06 ***      
                iis428        -8.2679e+02  7.3208e+01 -11.2936 < 2.2e-16 ***      
                iis430        -3.6595e+02  6.3952e+01  -5.7223 1.803e-08 ***      
                iis588         3.1963e+02  5.5922e+01   5.7156 1.871e-08 ***      
                iis593         8.3452e+02  6.3260e+01  13.1920 < 2.2e-16 ***      
                iis594         5.8012e+02  6.3170e+01   9.1836 < 2.2e-16 ***      
                iis595        -8.2319e+02  6.3515e+01 -12.9605 < 2.2e-16 ***      
                iis598        -4.3830e+02  6.3073e+01  -6.9491 1.139e-11 ***      
                iis599        -4.2875e+02  6.3156e+01  -6.7888 3.183e-11 ***      
                iis600        -7.4558e+02  6.3513e+01 -11.7389 < 2.2e-16 ***      
                fesisCHN.2008  2.5023e+02  2.6457e+01   9.4578 < 2.2e-16 ***      
                fesisDEU.2006  3.0548e+02  2.8935e+01  10.5572 < 2.2e-16 ***      
                fesisDEU.2012 -4.5487e+02  5.6265e+01  -8.0844 4.657e-15 ***      
                fesisDEU.2014  2.7703e+02  5.6696e+01   4.8861 1.383e-06 ***      
                fesisJPN.2009  4.0755e+02  4.6626e+01   8.7408 < 2.2e-16 ***      
                fesisKOR.2003  2.8128e+02  5.3489e+01   5.2586 2.147e-07 ***      
                fesisKOR.2009  2.9620e+02  5.8943e+01   5.0251 6.994e-07 ***      
                fesisKOR.2015  2.8237e+02  6.1657e+01   4.5797 5.872e-06 ***      
                fesisKOR.2017 -4.1575e+02  6.5246e+01  -6.3721 4.206e-10 ***      
                fesisUSA.2005  4.7901e+02  3.7315e+01  12.8369 < 2.2e-16 ***      
                fesisUSA.2012 -2.9178e+02  4.6945e+01  -6.2154 1.073e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    1.1023  1 0.2937692          
                Ljung-Box ARCH(1) 12.8402  1 0.0003393 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    50.35477      
                R-squared            0.99934      
                Log-lik.(n=600)  -3155.31910      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 17:48:08 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.769612  0.018196 42.2968 < 2.2e-16 ***      
                lgdp           0.390235  0.056716  6.8805 1.682e-11 ***      
                lpop          -0.215523  0.168253 -1.2809 0.2007726          
                idAUT          0.341424  0.152789  2.2346 0.0258579 *        
                idBEL          0.201930  0.114969  1.7564 0.0795960 .        
                idBRA         -0.296756  0.371767 -0.7982 0.4250928          
                idCAN          0.135743  0.095699  1.4184 0.1566513          
                idCHE          0.046312  0.160119  0.2892 0.7725145          
                idCHN         -0.015644  0.672934 -0.0232 0.9814619          
                idDEU          0.567928  0.236731  2.3990 0.0167812 *        
                idDNK         -0.573704  0.230906 -2.4846 0.0132769 *        
                idESP          0.160826  0.146727  1.0961 0.2735341          
                idFIN          0.302528  0.219440  1.3786 0.1685852          
                idFRA          0.383372  0.197469  1.9414 0.0527336 .        
                idGBR          0.367163  0.194436  1.8883 0.0595235 .        
                idIND         -0.547010  0.648826 -0.8431 0.3995650          
                idISR         -0.226267  0.172370 -1.3127 0.1898566          
                idITA          0.209131  0.184676  1.1324 0.2579663          
                idJPN         -1.190650  0.360164 -3.3059 0.0010107 **       
                idKOR         -1.971885  0.352445 -5.5949 3.537e-08 ***      
                idNLD          0.278759  0.067521  4.1285 4.239e-05 ***      
                idNOR         -0.887766  0.265049 -3.3494 0.0008672 ***      
                idRUS         -1.422813  0.348695 -4.0804 5.186e-05 ***      
                idSGP         -0.330478  0.257418 -1.2838 0.1997645          
                idSWE         -0.580115  0.161840 -3.5845 0.0003688 ***      
                idTWN          0.339015  0.061943  5.4730 6.826e-08 ***      
                idUSA          0.317565  0.434712  0.7305 0.4653946          
                time1996      -6.056385  2.756590 -2.1971 0.0284468 *        
                time1997      -6.114230  2.757661 -2.2172 0.0270327 *        
                time1998      -5.996418  2.758066 -2.1741 0.0301348 *        
                time1999      -6.049879  2.759053 -2.1927 0.0287586 *        
                time2000      -6.038324  2.759123 -2.1885 0.0290677 *        
                time2001      -6.025058  2.760218 -2.1828 0.0294856 *        
                time2002      -6.064921  2.761112 -2.1965 0.0284833 *        
                time2003      -5.988356  2.762096 -2.1680 0.0305977 *        
                time2004      -5.967581  2.763035 -2.1598 0.0312348 *        
                time2005      -5.927692  2.762579 -2.1457 0.0323480 *        
                time2006      -5.921121  2.763580 -2.1426 0.0326020 *        
                time2007      -5.884267  2.764544 -2.1285 0.0337565 *        
                time2008      -5.891605  2.765862 -2.1301 0.0336203 *        
                time2009      -5.846359  2.765983 -2.1137 0.0350088 *        
                time2010      -5.832698  2.767127 -2.1079 0.0355108 *        
                time2011      -5.856135  2.767987 -2.1157 0.0348373 *        
                time2012      -5.921320  2.768945 -2.1385 0.0329330 *        
                time2013      -6.006299  2.770248 -2.1681 0.0305903 *        
                time2014      -5.968390  2.771966 -2.1531 0.0317577 *        
                time2015      -5.996979  2.773335 -2.1624 0.0310346 *        
                time2016      -5.931644  2.774834 -2.1377 0.0329997 *        
                time2017      -5.951830  2.775936 -2.1441 0.0324790 *        
                time2018      -5.949825  2.777021 -2.1425 0.0326048 *        
                time2019      -6.050352  2.777975 -2.1780 0.0298466 *        
                iis83          0.751448  0.126966  5.9185 5.826e-09 ***      
                iis147        -0.528853  0.130606 -4.0492 5.903e-05 ***      
                iis204         0.402986  0.128997  3.1240 0.0018813 **       
                iis481         0.501227  0.129661  3.8657 0.0001245 ***      
                iis483         0.532419  0.130070  4.0933 4.913e-05 ***      
                iis485         0.632699  0.128980  4.9054 1.241e-06 ***      
                iis505        -0.384872  0.144550 -2.6626 0.0079896 **       
                iis506        -1.114263  0.145445 -7.6611 8.782e-14 ***      
                iis507         1.734835  0.149032 11.6407 < 2.2e-16 ***      
                iis508         0.784720  0.143640  5.4631 7.196e-08 ***      
                iis517         0.501190  0.128819  3.8906 0.0001127 ***      
                fesisAUS.2005 -0.174592  0.056137 -3.1101 0.0019706 **       
                fesisDNK.2005  0.172107  0.054791  3.1412 0.0017763 **       
                fesisIND.1998 -0.546548  0.124545 -4.3884 1.378e-05 ***      
                fesisIND.2000  0.413270  0.094738  4.3623 1.546e-05 ***      
                fesisSGP.2003  0.565600  0.113639  4.9772 8.728e-07 ***      
                fesisSGP.2005 -0.365040  0.097649 -3.7383 0.0002053 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   12.596  1 0.0003866 ***      
                Ljung-Box ARCH(1) 41.246  1 1.342e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.12171      
                R-squared          0.99425      
                Log-lik.(n=600)  446.29353      
0.05

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 17:49:33 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.734401   0.020263 36.2429 < 2.2e-16 ***      
                lgdp            0.311427   0.063784  4.8825 1.400e-06 ***      
                lpop            0.376702   0.183450  2.0534 0.0405350 *        
                idAUT           0.735229   0.161748  4.5455 6.837e-06 ***      
                idBEL           0.436595   0.119677  3.6481 0.0002911 ***      
                idBRA          -1.632466   0.406869 -4.0123 6.906e-05 ***      
                idCAN          -0.388175   0.143535 -2.7044 0.0070695 **       
                idCHE           0.533700   0.169807  3.1430 0.0017687 **       
                idCHN          -2.433095   0.737097 -3.3009 0.0010305 **       
                idDEU          -0.132521   0.251540 -0.5268 0.5985322          
                idDNK           0.251309   0.249824  1.0059 0.3149145          
                idESP          -0.357298   0.159569 -2.2391 0.0255728 *        
                idFIN           0.908422   0.233716  3.8869 0.0001148 ***      
                idFRA          -0.233257   0.210773 -1.1067 0.2689513          
                idGBR          -0.254361   0.208184 -1.2218 0.2223388          
                idIND          -2.712545   0.702989 -3.8586 0.0001285 ***      
                idISR           0.408093   0.196668  2.0750 0.0384793 *        
                idITA          -0.405580   0.198719 -2.0410 0.0417628 *        
                idJPN          -1.710272   0.391510 -4.3684 1.514e-05 ***      
                idKOR          -1.905898   0.393565 -4.8426 1.697e-06 ***      
                idNLD           0.334587   0.067245  4.9756 8.880e-07 ***      
                idNOR          -0.056683   0.285545 -0.1985 0.8427254          
                idRUS          -2.582851   0.398928 -6.4745 2.222e-10 ***      
                idSGP           0.373011   0.270888  1.3770 0.1691132          
                idSWE          -0.057786   0.175647 -0.3290 0.7422982          
                idTWN           0.011430   0.076766  0.1489 0.8816996          
                idUSA          -0.993925   0.464856 -2.1381 0.0329757 *        
                time1996      -13.601210   2.971473 -4.5773 5.912e-06 ***      
                time1997      -13.683267   2.971917 -4.6042 5.223e-06 ***      
                time1998      -13.584581   2.972433 -4.5702 6.107e-06 ***      
                time1999      -13.600340   2.973331 -4.5741 5.998e-06 ***      
                time2000      -13.607423   2.973771 -4.5758 5.951e-06 ***      
                time2001      -13.599818   2.974812 -4.5717 6.066e-06 ***      
                time2002      -13.638626   2.975661 -4.5834 5.748e-06 ***      
                time2003      -13.544814   2.976538 -4.5505 6.682e-06 ***      
                time2004      -13.549867   2.977211 -4.5512 6.662e-06 ***      
                time2005      -13.510073   2.976201 -4.5394 7.031e-06 ***      
                time2006      -13.465065   2.977507 -4.5223 7.600e-06 ***      
                time2007      -13.435558   2.978535 -4.5108 8.007e-06 ***      
                time2008      -13.442490   2.979798 -4.5112 7.992e-06 ***      
                time2009      -13.392850   2.978618 -4.4963 8.549e-06 ***      
                time2010      -13.376183   2.979729 -4.4891 8.834e-06 ***      
                time2011      -13.397316   2.980521 -4.4950 8.602e-06 ***      
                time2012      -13.463162   2.981462 -4.5156 7.833e-06 ***      
                time2013      -13.539470   2.983027 -4.5388 7.048e-06 ***      
                time2014      -13.518845   2.984845 -4.5292 7.366e-06 ***      
                time2015      -13.559281   2.986381 -4.5404 6.999e-06 ***      
                time2016      -13.497861   2.988053 -4.5173 7.775e-06 ***      
                time2017      -13.517963   2.989199 -4.5223 7.600e-06 ***      
                time2018      -13.516773   2.990348 -4.5201 7.674e-06 ***      
                time2019      -13.618130   2.991349 -4.5525 6.622e-06 ***      
                iis83           0.737677   0.114040  6.4686 2.304e-10 ***      
                iis98           0.302275   0.114582  2.6381 0.0085903 **       
                iis147         -0.398100   0.125074 -3.1829 0.0015460 **       
                iis193         -0.327964   0.119588 -2.7424 0.0063109 **       
                iis196         -0.246404   0.119409 -2.0635 0.0395634 *        
                iis204          0.382657   0.116764  3.2772 0.0011192 **       
                iis317          0.342899   0.117951  2.9071 0.0038049 **       
                iis344         -0.436742   0.116616 -3.7451 0.0002006 ***      
                iis345          0.311159   0.116885  2.6621 0.0080085 **       
                iis354         -0.295719   0.117002 -2.5275 0.0117867 *        
                iis459          0.455437   0.114430  3.9800 7.880e-05 ***      
                iis481          0.653684   0.158133  4.1338 4.166e-05 ***      
                iis483          0.470513   0.118691  3.9642 8.406e-05 ***      
                iis485          0.586335   0.117257  5.0004 7.857e-07 ***      
                iis490          0.356391   0.114696  3.1073 0.0019924 **       
                iis505         -0.404391   0.130312 -3.1033 0.0020192 **       
                iis506         -1.135558   0.131463 -8.6379 < 2.2e-16 ***      
                iis507          1.674381   0.136666 12.2517 < 2.2e-16 ***      
                iis508          0.762091   0.129087  5.9037 6.455e-09 ***      
                iis517          0.501435   0.115789  4.3306 1.788e-05 ***      
                fesisAUS.2005  -0.241990   0.052206 -4.6352 4.524e-06 ***      
                fesisCAN.1997   0.255212   0.114823  2.2226 0.0266729 *        
                fesisCHN.2001   0.207825   0.073840  2.8145 0.0050721 **       
                fesisCHN.2015   0.212240   0.067586  3.1403 0.0017848 **       
                fesisDNK.2005   0.341926   0.119352  2.8649 0.0043424 **       
                fesisDNK.2006  -0.493956   0.158005 -3.1262 0.0018708 **       
                fesisDNK.2007   0.289969   0.116627  2.4863 0.0132242 *        
                fesisIND.1998  -0.526889   0.111981 -4.7052 3.264e-06 ***      
                fesisIND.2000   0.412191   0.087488  4.7114 3.170e-06 ***      
                fesisISR.2009  -0.170195   0.056328 -3.0215 0.0026404 **       
                fesisRUS.1998   0.259490   0.118659  2.1869 0.0292025 *        
                fesisSGP.2003   0.567390   0.102107  5.5568 4.412e-08 ***      
                fesisSGP.2005  -0.420868   0.089249 -4.7156 3.107e-06 ***      
                fesisTWN.2001   0.272802   0.067631  4.0337 6.323e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.5945  1 0.1072322          
                Ljung-Box ARCH(1) 13.8047  1 0.0002028 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.10920      
                R-squared          0.99552      
                Log-lik.(n=600)  519.85787      

Ihs Count

0.01

                Formula: ihs_count~ ihs_gdp + ihs_pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Wed Jan 24 16:44:56 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error   t-stat   p-value          
                ar1            0.761493  0.018105  42.0604 < 2.2e-16 ***      
                ihs_gdp        0.408137  0.057372   7.1139 3.654e-12 ***      
                ihs_pop       -0.213375  0.171761  -1.2423 0.2146808          
                idAUT          0.368088  0.156224   2.3562 0.0188260 *        
                idBEL          0.219520  0.117526   1.8678 0.0623341 .        
                idBRA         -0.337224  0.380277  -0.8868 0.3755946          
                idCAN          0.135063  0.097707   1.3823 0.1674531          
                idCHE          0.061462  0.163704   0.3754 0.7074778          
                idCHN         -0.075900  0.688019  -0.1103 0.9121994          
                idDEU          0.572173  0.241387   2.3704 0.0181257 *        
                idDNK         -0.584026  0.235375  -2.4813 0.0133995 *        
                idESP          0.158873  0.149814   1.0605 0.2894098          
                idFIN          0.333708  0.224409   1.4871 0.1375923          
                idFRA          0.384334  0.201476   1.9076 0.0569812 .        
                idGBR          0.368860  0.198370   1.8595 0.0635139 .        
                idIND         -0.615287  0.663820  -0.9269 0.3544037          
                idISR         -0.223670  0.175987  -1.2709 0.2043017          
                idITA          0.205337  0.188579   1.0889 0.2767045          
                idJPN         -1.273849  0.367933  -3.4622 0.0005789 ***      
                idKOR         -2.080616  0.358071  -5.8106 1.072e-08 ***      
                idNLD          0.293810  0.068843   4.2678 2.337e-05 ***      
                idNOR         -0.910486  0.269803  -3.3746 0.0007930 ***      
                idRUS         -1.508746  0.356317  -4.2343 2.701e-05 ***      
                idSGP         -0.333327  0.263068  -1.2671 0.2056819          
                idSWE         -0.596846  0.164657  -3.6248 0.0003169 ***      
                idTWN          0.349730  0.063036   5.5481 4.556e-08 ***      
                idUSA          0.292894  0.444155   0.6594 0.5098978          
                time1996      -6.522511  2.927647  -2.2279 0.0263036 *        
                time1997      -6.582733  2.928734  -2.2476 0.0250074 *        
                time1998      -6.460261  2.929119  -2.2055 0.0278430 *        
                time1999      -6.516343  2.930140  -2.2239 0.0265733 *        
                time2000      -6.504563  2.930192  -2.2198 0.0268495 *        
                time2001      -6.489956  2.931336  -2.2140 0.0272518 *        
                time2002      -6.530946  2.932254  -2.2273 0.0263455 *        
                time2003      -6.452108  2.933263  -2.1996 0.0282614 *        
                time2004      -6.431686  2.934215  -2.1920 0.0288141 *        
                time2005      -6.391686  2.933737  -2.1787 0.0297925 *        
                time2006      -6.385107  2.934764  -2.1757 0.0300178 *        
                time2007      -6.331048  2.935946  -2.1564 0.0314997 *        
                time2008      -6.353795  2.937129  -2.1633 0.0309644 *        
                time2009      -6.307078  2.937300  -2.1472 0.0322248 *        
                time2010      -6.293081  2.938469  -2.1416 0.0326768 *        
                time2011      -6.316088  2.939356  -2.1488 0.0321000 *        
                time2012      -6.381326  2.940347  -2.1703 0.0304278 *        
                time2013      -6.466904  2.941676  -2.1984 0.0283515 *        
                time2014      -6.429934  2.943411  -2.1845 0.0293591 *        
                time2015      -6.459188  2.944803  -2.1934 0.0287083 *        
                time2016      -6.394094  2.946322  -2.1702 0.0304330 *        
                time2017      -6.414587  2.947444  -2.1763 0.0299696 *        
                time2018      -6.412722  2.948547  -2.1749 0.0300784 *        
                time2019      -6.513901  2.949520  -2.2085 0.0276370 *        
                iis83          0.768575  0.129757   5.9232 5.666e-09 ***      
                iis147        -0.538253  0.133468  -4.0328 6.316e-05 ***      
                iis481         0.512875  0.132464   3.8718 0.0001214 ***      
                iis483         0.543975  0.132873   4.0940 4.899e-05 ***      
                iis485         0.645538  0.131762   4.8993 1.278e-06 ***      
                iis505        -0.496532  0.147845  -3.3585 0.0008398 ***      
                iis506        -1.538740  0.149132 -10.3180 < 2.2e-16 ***      
                iis507         2.147780  0.155085  13.8491 < 2.2e-16 ***      
                iis508         0.830684  0.146801   5.6586 2.494e-08 ***      
                iis517         0.510346  0.131643   3.8767 0.0001191 ***      
                fesisAUS.2005 -0.181361  0.057364  -3.1616 0.0016584 **       
                fesisDNK.2005  0.205726  0.055099   3.7338 0.0002089 ***      
                fesisIND.1998 -0.578017  0.127289  -4.5410 6.929e-06 ***      
                fesisIND.2000  0.429638  0.096822   4.4374 1.107e-05 ***      
                fesisSGP.2003  0.596450  0.116125   5.1363 3.937e-07 ***      
                fesisSGP.2005 -0.380048  0.099794  -3.8083 0.0001562 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   12.687  1 0.0003682 ***      
                Ljung-Box ARCH(1) 47.198  1 6.417e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.12438      
                R-squared          0.99410      
                Log-lik.(n=600)  432.78009      
0.05

                Formula: ihs_count~ ihs_gdp + ihs_pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Wed Jan 24 16:44:52 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error   t-stat   p-value          
                ar1            0.730478  0.020275  36.0290 < 2.2e-16 ***      
                ihs_gdp        0.326416  0.065842   4.9576 9.672e-07 ***      
                ihs_pop        0.105963  0.170338   0.6221 0.5341663          
                idAUT          0.520799  0.148778   3.5005 0.0005042 ***      
                idBEL          0.285442  0.111898   2.5509 0.0110289 *        
                idBRA         -1.047656  0.372266  -2.8143 0.0050737 **       
                idCAN         -0.268739  0.144865  -1.8551 0.0641465 .        
                idCHE          0.288138  0.155900   1.8482 0.0651368 .        
                idCHN         -1.340789  0.671705  -1.9961 0.0464431 *        
                idDEU          0.250781  0.232155   1.0802 0.2805386          
                idDNK         -0.132333  0.236052  -0.5606 0.5753034          
                idESP         -0.140186  0.150897  -0.9290 0.3533117          
                idFIN          0.576733  0.212832   2.7098 0.0069542 **       
                idFRA          0.082140  0.195109   0.4210 0.6739346          
                idGBR          0.053930  0.193452   0.2788 0.7805249          
                idIND         -1.685008  0.638549  -2.6388 0.0085688 **       
                idISR          0.024035  0.169647   0.1417 0.8873879          
                idITA         -0.114649  0.184230  -0.6223 0.5340057          
                idJPN         -1.282816  0.368791  -3.4784 0.0005466 ***      
                idKOR         -1.756520  0.396468  -4.4304 1.147e-05 ***      
                idNLD          0.295209  0.067490   4.3741 1.473e-05 ***      
                idNOR         -0.459805  0.272707  -1.6861 0.0923791 .        
                idRUS         -2.101250  0.367969  -5.7104 1.896e-08 ***      
                idSGP         -0.051265  0.248010  -0.2067 0.8363206          
                idSWE         -0.278217  0.171923  -1.6183 0.1062108          
                idTWN          0.060436  0.079162   0.7634 0.4455414          
                idUSA         -0.282302  0.421989  -0.6690 0.5038042          
                time1996      -9.576736  2.791278  -3.4310 0.0006492 ***      
                time1997      -9.658790  2.791642  -3.4599 0.0005847 ***      
                time1998      -9.555105  2.792103  -3.4222 0.0006700 ***      
                time1999      -9.583486  2.792885  -3.4314 0.0006482 ***      
                time2000      -9.578243  2.793370  -3.4289 0.0006540 ***      
                time2001      -9.569146  2.794357  -3.4245 0.0006646 ***      
                time2002      -9.607472  2.795123  -3.4372 0.0006347 ***      
                time2003      -9.527770  2.796050  -3.4076 0.0007061 ***      
                time2004      -9.518519  2.797033  -3.4031 0.0007176 ***      
                time2005      -9.452722  2.796277  -3.3805 0.0007779 ***      
                time2006      -9.440532  2.797133  -3.3751 0.0007930 ***      
                time2007      -9.396211  2.797871  -3.3583 0.0008415 ***      
                time2008      -9.399584  2.798952  -3.3583 0.0008418 ***      
                time2009      -9.354135  2.798838  -3.3421 0.0008910 ***      
                time2010      -9.335481  2.799877  -3.3342 0.0009162 ***      
                time2011      -9.354730  2.800604  -3.3403 0.0008970 ***      
                time2012      -9.418836  2.801449  -3.3621 0.0008303 ***      
                time2013      -9.505498  2.802738  -3.3915 0.0007479 ***      
                time2014      -9.471575  2.804549  -3.3772 0.0007870 ***      
                time2015      -9.494666  2.806159  -3.3835 0.0007695 ***      
                time2016      -9.446895  2.807480  -3.3649 0.0008221 ***      
                time2017      -9.465678  2.808538  -3.3703 0.0008065 ***      
                time2018      -9.463021  2.809598  -3.3681 0.0008129 ***      
                time2019      -9.563541  2.810515  -3.4028 0.0007184 ***      
                iis83          0.766463  0.119459   6.4161 3.143e-10 ***      
                iis98          0.287530  0.119995   2.3962 0.0169185 *        
                iis147        -0.410904  0.131094  -3.1344 0.0018189 **       
                iis193        -0.307094  0.124364  -2.4693 0.0138568 *        
                iis204         0.387728  0.121456   3.1923 0.0014964 **       
                iis345         0.419244  0.119714   3.5021 0.0005013 ***      
                iis459         0.453078  0.119910   3.7785 0.0001760 ***      
                iis481         0.674673  0.165743   4.0706 5.418e-05 ***      
                iis483         0.463248  0.124003   3.7358 0.0002078 ***      
                iis485         0.575029  0.122617   4.6896 3.500e-06 ***      
                iis500        -0.390300  0.120252  -3.2457 0.0012469 **       
                iis505        -0.541414  0.136607  -3.9633 8.424e-05 ***      
                iis506        -1.579511  0.138385 -11.4139 < 2.2e-16 ***      
                iis507         2.069433  0.146826  14.0944 < 2.2e-16 ***      
                iis508         0.810977  0.135211   5.9979 3.742e-09 ***      
                iis517         0.495384  0.121269   4.0850 5.102e-05 ***      
                fesisAUS.2005 -0.217538  0.053354  -4.0773 5.268e-05 ***      
                fesisCAN.1997  0.274805  0.120226   2.2857 0.0226699 *        
                fesisCHN.2001  0.208290  0.077377   2.6919 0.0073337 **       
                fesisCHN.2015  0.204404  0.070835   2.8856 0.0040684 **       
                fesisDNK.2005  0.160988  0.053950   2.9840 0.0029781 **       
                fesisIND.1998 -0.545318  0.117354  -4.6468 4.276e-06 ***      
                fesisIND.2000  0.783554  0.143457   5.4619 7.304e-08 ***      
                fesisIND.2001 -0.327961  0.123410  -2.6575 0.0081141 **       
                fesisRUS.1998  0.283652  0.123952   2.2884 0.0225134 *        
                fesisSGP.2003  0.608246  0.106987   5.6852 2.178e-08 ***      
                fesisSGP.2005 -0.396749  0.092175  -4.3043 2.001e-05 ***      
                fesisTWN.2001  0.270191  0.070302   3.8433 0.0001364 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    3.2337  1   0.07214 .        
                Ljung-Box ARCH(1) 28.3529  1 1.011e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.11447      
                R-squared          0.99512      
                Log-lik.(n=600)  488.60910      

Energy

top_25

Count

0.01

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Wed Jan 10 11:27:06 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.5773e-01  7.5058e-03 127.5985 < 2.2e-16 ***      
                gdp            1.0379e-13  7.4858e-14   1.3865 0.1661891          
                pop            2.9123e-07  1.0090e-07   2.8863 0.0040607 **       
                idAUT          6.3230e+00  1.0839e+01   0.5833 0.5599138          
                idBEL         -5.5588e-02  1.0812e+01  -0.0051 0.9958998          
                idBRA         -5.4236e+01  2.0220e+01  -2.6823 0.0075452 **       
                idCAN          3.5172e+00  1.0847e+01   0.3243 0.7458687          
                idCHE          3.9153e+00  1.0849e+01   0.3609 0.7183223          
                idCHN         -3.1842e+02  1.2949e+02  -2.4591 0.0142555 *        
                idDEU          5.6683e+01  1.5553e+01   3.6446 0.0002949 ***      
                idDNK          1.5211e+01  1.0909e+01   1.3943 0.1638306          
                idESP         -6.2110e+00  1.1004e+01  -0.5644 0.5726987          
                idFIN          1.4664e+00  1.0878e+01   0.1348 0.8928124          
                idFRA          1.0864e+01  1.1656e+01   0.9320 0.3517622          
                idGBR          4.1394e+00  1.1536e+01   0.3588 0.7198728          
                idIND         -3.0116e+02  1.0488e+02  -2.8714 0.0042546 **       
                idISR          2.2236e+00  1.0852e+01   0.2049 0.8377225          
                idITA         -7.5890e+00  1.1391e+01  -0.6662 0.5055542          
                idJPN          8.1307e+01  3.7908e+01   2.1448 0.0324317 *        
                idKOR         -6.9319e+01  6.5116e+01  -1.0645 0.2875809          
                idNLD          3.2680e+00  1.0775e+01   0.3033 0.7617810          
                idNOR          1.9236e+00  1.0892e+01   0.1766 0.8598871          
                idRUS         -4.5937e+01  1.6662e+01  -2.7569 0.0060409 **       
                idSGP          9.1873e-01  1.0887e+01   0.0844 0.9327820          
                idSWE          1.6508e+00  1.0833e+01   0.1524 0.8789379          
                idTWN          1.2305e+01  1.0804e+01   1.1390 0.2552487          
                idUSA          6.5477e+01  3.1114e+01   2.1044 0.0358270 *        
                time1996      -1.3527e+01  1.0706e+01  -1.2634 0.2070070          
                time1997      -9.4576e+00  1.0717e+01  -0.8825 0.3779241          
                time1998      -2.5774e+00  1.0738e+01  -0.2400 0.8103990          
                time1999      -3.7163e+00  1.0823e+01  -0.3434 0.7314532          
                time2000       8.8823e-01  1.0838e+01   0.0820 0.9347137          
                time2001       2.3839e+00  1.0756e+01   0.2216 0.8246934          
                time2002      -7.6516e+00  1.0776e+01  -0.7100 0.4780018          
                time2003      -1.6272e+01  1.0948e+01  -1.4863 0.1378131          
                time2004       1.1725e+01  1.0702e+01   1.0956 0.2737829          
                time2005       1.8108e+01  1.0710e+01   1.6908 0.0914763 .        
                time2006       4.5360e+00  1.0820e+01   0.4192 0.6752173          
                time2007       3.1482e+01  1.0844e+01   2.9032 0.0038514 **       
                time2008       2.0217e+01  1.0876e+01   1.8589 0.0636030 .        
                time2009       2.8695e+01  1.1130e+01   2.5782 0.0102067 *        
                time2010       2.5468e+01  1.1128e+01   2.2886 0.0225050 *        
                time2011       1.2046e+01  1.1108e+01   1.0845 0.2786647          
                time2012      -2.6521e+01  1.1161e+01  -2.3762 0.0178546 *        
                time2013      -2.6244e+01  1.1327e+01  -2.3170 0.0208933 *        
                time2014      -1.9562e+01  1.1134e+01  -1.7570 0.0795173 .        
                time2015      -1.2694e+01  1.1133e+01  -1.1402 0.2547276          
                time2016      -5.3616e+00  1.1163e+01  -0.4803 0.6312027          
                time2017       8.7854e+00  1.1113e+01   0.7906 0.4295664          
                time2018       2.7980e+00  1.1130e+01   0.2514 0.8016090          
                time2019      -2.6172e+01  1.1236e+01  -2.3293 0.0202302 *        
                iis165         4.3593e+02  3.9931e+01  10.9171 < 2.2e-16 ***      
                iis166         4.2271e+02  4.0505e+01  10.4359 < 2.2e-16 ***      
                iis167         4.2091e+02  4.1314e+01  10.1881 < 2.2e-16 ***      
                iis168         1.3312e+02  4.2329e+01   3.1449 0.0017568 **       
                iis186        -3.7721e+02  4.0831e+01  -9.2383 < 2.2e-16 ***      
                iis388         3.0624e+02  4.0274e+01   7.6037 1.366e-13 ***      
                iis389         2.6446e+02  3.9988e+01   6.6136 9.379e-11 ***      
                iis392         1.9670e+02  3.9919e+01   4.9274 1.124e-06 ***      
                iis398         5.0287e+02  4.3774e+01  11.4880 < 2.2e-16 ***      
                iis399         1.2086e+03  4.3022e+01  28.0923 < 2.2e-16 ***      
                iis400         3.8463e+02  4.2881e+01   8.9697 < 2.2e-16 ***      
                iis401        -4.7052e+02  4.3236e+01 -10.8826 < 2.2e-16 ***      
                iis402        -5.3515e+02  4.2810e+01 -12.5007 < 2.2e-16 ***      
                iis404        -2.9375e+02  4.2566e+01  -6.9012 1.515e-11 ***      
                iis408        -8.3656e+02  4.2589e+01 -19.6428 < 2.2e-16 ***      
                iis422         3.9628e+02  4.0737e+01   9.7276 < 2.2e-16 ***      
                iis423         3.3705e+02  4.1966e+01   8.0315 6.550e-15 ***      
                iis426         2.1934e+02  4.5683e+01   4.8014 2.066e-06 ***      
                iis429         4.2973e+02  4.4558e+01   9.6444 < 2.2e-16 ***      
                iis587         3.1359e+02  3.9401e+01   7.9589 1.107e-14 ***      
                iis588         4.0024e+02  3.9490e+01  10.1352 < 2.2e-16 ***      
                iis589         4.1751e+02  3.9856e+01  10.4755 < 2.2e-16 ***      
                iis590         3.2551e+02  4.0590e+01   8.0193 7.155e-15 ***      
                iis595        -4.2725e+02  4.2054e+01 -10.1595 < 2.2e-16 ***      
                fesisDEU.2007  2.0485e+02  2.1327e+01   9.6055 < 2.2e-16 ***      
                fesisDEU.2012 -2.5430e+02  2.2350e+01 -11.3780 < 2.2e-16 ***      
                fesisIND.2004 -6.9733e+01  2.6497e+01  -2.6318 0.0087482 **       
                fesisJPN.2009  7.4440e+01  2.7050e+01   2.7520 0.0061321 **       
                fesisKOR.2003  1.0707e+02  3.5646e+01   3.0036 0.0027969 **       
                fesisKOR.2014 -3.6854e+02  4.0072e+01  -9.1970 < 2.2e-16 ***      
                fesisKOR.2016  2.0559e+02  3.7075e+01   5.5452 4.689e-08 ***      
                fesisUSA.2014 -1.4466e+02  2.1146e+01  -6.8409 2.232e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value          
                Ljung-Box AR(1)    1.8203  1   0.1773          
                Ljung-Box ARCH(1) 33.5487  1 6.95e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    37.27557      
                R-squared            0.99835      
                Log-lik.(n=600)  -2980.86604      
0.05

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Wed Jan 10 11:27:05 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.8892e-01  1.7006e-02  52.2718 < 2.2e-16 ***      
                gdp            3.2958e-14  1.3795e-13   0.2389 0.8112641          
                pop            3.0177e-08  6.9198e-08   0.4361 0.6629530          
                idAUT          2.8106e+00  1.0071e+01   0.2791 0.7803119          
                idBEL         -5.0831e+00  1.0076e+01  -0.5045 0.6141417          
                idBRA         -1.3810e+01  1.5284e+01  -0.9035 0.3666889          
                idCAN          1.4053e+01  1.0250e+01   1.3711 0.1709489          
                idCHE          1.0762e+00  1.0077e+01   0.1068 0.9149928          
                idCHN         -1.8177e+01  8.6516e+01  -0.2101 0.8336702          
                idDEU          1.0705e+02  1.6390e+01   6.5313 1.595e-10 ***      
                idDNK          1.7113e+01  1.0190e+01   1.6795 0.0936784 .        
                idESP          9.1894e-01  1.0176e+01   0.0903 0.9280847          
                idFIN         -4.9854e+00  1.0108e+01  -0.4932 0.6220762          
                idFRA          3.9418e+01  1.1415e+01   3.4532 0.0006007 ***      
                idGBR          2.7079e+01  1.0938e+01   2.4757 0.0136251 *        
                idIND         -3.6733e+01  7.6946e+01  -0.4774 0.6332900          
                idISR         -2.2355e+00  1.0084e+01  -0.2217 0.8246456          
                idITA          5.3352e+00  1.0411e+01   0.5125 0.6085495          
                idJPN          1.9929e+02  6.3764e+01   3.1255 0.0018775 **       
                idKOR          1.8096e+02  1.6137e+02   1.1214 0.2626612          
                idNLD          3.7295e+00  1.0051e+01   0.3710 0.7107565          
                idNOR         -5.0197e+00  1.0147e+01  -0.4947 0.6210368          
                idRUS         -1.1026e+01  1.3512e+01  -0.8161 0.4148413          
                idSGP         -6.6624e+00  1.0131e+01  -0.6576 0.5110767          
                idSWE         -1.6067e+00  1.0090e+01  -0.1592 0.8735428          
                idTWN          2.1389e+01  1.0275e+01   2.0817 0.0378714 *        
                idUSA          1.9550e+02  2.7657e+01   7.0688 5.237e-12 ***      
                time1996      -1.1673e+01  1.0022e+01  -1.1647 0.2446852          
                time1997      -5.9865e+00  1.0022e+01  -0.5974 0.5505354          
                time1998       2.7782e+00  1.0024e+01   0.2771 0.7817806          
                time1999       1.2892e+00  1.0100e+01   0.1277 0.8984767          
                time2000       7.9588e+00  1.0106e+01   0.7875 0.4313548          
                time2001       9.3745e+00  1.0032e+01   0.9345 0.3505103          
                time2002       4.2426e+00  1.0051e+01   0.4221 0.6731227          
                time2003      -7.3039e+00  1.0152e+01  -0.7195 0.4721959          
                time2004       1.9444e+01  1.0032e+01   1.9381 0.0531727 .        
                time2005       2.8613e+01  1.0060e+01   2.8443 0.0046315 **       
                time2006       2.3039e+01  1.0232e+01   2.2517 0.0247727 *        
                time2007       3.2661e+01  1.0342e+01   3.1580 0.0016836 **       
                time2008       3.3121e+01  1.0177e+01   3.2545 0.0012123 **       
                time2009       4.1929e+01  1.0447e+01   4.0136 6.887e-05 ***      
                time2010       4.1661e+01  1.0506e+01   3.9654 8.387e-05 ***      
                time2011       2.9188e+01  1.0634e+01   2.7447 0.0062724 **       
                time2012      -1.7515e+01  1.0768e+01  -1.6266 0.1044545          
                time2013      -1.0821e+01  1.0726e+01  -1.0089 0.3135244          
                time2014      -6.5982e+00  1.0575e+01  -0.6239 0.5329633          
                time2015       9.9497e+00  1.0532e+01   0.9447 0.3452520          
                time2016       6.2850e+00  1.0440e+01   0.6020 0.5474271          
                time2017       2.0554e+01  1.0394e+01   1.9776 0.0485238 *        
                time2018       1.5678e+01  1.0404e+01   1.5070 0.1324320          
                time2019      -1.2971e+01  1.0479e+01  -1.2379 0.2163379          
                iis165         4.2909e+02  3.8341e+01  11.1915 < 2.2e-16 ***      
                iis166         4.5129e+02  4.0517e+01  11.1383 < 2.2e-16 ***      
                iis167         4.8232e+02  4.3883e+01  10.9910 < 2.2e-16 ***      
                iis168         2.2601e+02  4.8094e+01   4.6993 3.373e-06 ***      
                iis180         1.1933e+02  4.0941e+01   2.9146 0.0037200 **       
                iis186        -3.9725e+02  3.9920e+01  -9.9511 < 2.2e-16 ***      
                iis188        -2.5209e+02  3.8963e+01  -6.4699 2.325e-10 ***      
                iis388         2.4430e+02  4.2842e+01   5.7025 2.014e-08 ***      
                iis389         2.3018e+02  4.0314e+01   5.7098 1.935e-08 ***      
                iis392         1.9477e+02  3.8653e+01   5.0389 6.535e-07 ***      
                iis396         1.9342e+02  3.8613e+01   5.0092 7.572e-07 ***      
                iis398         4.0520e+02  4.5477e+01   8.9099 < 2.2e-16 ***      
                iis399         1.1545e+03  4.1512e+01  27.8104 < 2.2e-16 ***      
                iis400         4.2115e+02  4.1437e+01  10.1636 < 2.2e-16 ***      
                iis401        -3.9525e+02  4.3649e+01  -9.0552 < 2.2e-16 ***      
                iis402        -4.9818e+02  4.1056e+01 -12.1341 < 2.2e-16 ***      
                iis404        -2.9816e+02  3.9780e+01  -7.4951 2.999e-13 ***      
                iis408        -8.2909e+02  3.9767e+01 -20.8486 < 2.2e-16 ***      
                iis409        -1.5856e+02  7.1662e+01  -2.2127 0.0273682 *        
                iis410        -1.7337e+02  6.6567e+01  -2.6044 0.0094755 **       
                iis411        -1.9438e+02  7.1070e+01  -2.7350 0.0064581 **       
                iis412        -1.6621e+02  6.1657e+01  -2.6958 0.0072573 **       
                iis413        -1.7923e+02  5.4138e+01  -3.3106 0.0009978 ***      
                iis414        -1.4418e+02  5.0111e+01  -2.8771 0.0041836 **       
                iis415        -2.1448e+02  4.4559e+01  -4.8135 1.963e-06 ***      
                iis419        -1.5983e+02  3.9207e+01  -4.0766 5.309e-05 ***      
                iis422         2.6861e+02  5.0065e+01   5.3652 1.235e-07 ***      
                iis423         2.5211e+02  4.4962e+01   5.6072 3.392e-08 ***      
                iis426         1.9862e+02  4.4432e+01   4.4702 9.659e-06 ***      
                iis429         3.9893e+02  4.3234e+01   9.2274 < 2.2e-16 ***      
                iis587         1.7713e+02  4.9845e+01   3.5537 0.0004156 ***      
                iis588         3.0973e+02  4.6028e+01   6.7291 4.651e-11 ***      
                iis589         3.5058e+02  4.2378e+01   8.2727 1.177e-15 ***      
                iis590         2.9247e+02  4.0337e+01   7.2507 1.570e-12 ***      
                iis595        -3.7476e+02  4.0783e+01  -9.1892 < 2.2e-16 ***      
                fesisCHN.2008  1.3512e+02  1.8507e+01   7.3008 1.122e-12 ***      
                fesisDEU.2007  1.9714e+02  2.6259e+01   7.5074 2.757e-13 ***      
                fesisDEU.2013 -1.3553e+02  2.3004e+01  -5.8916 6.999e-09 ***      
                fesisJPN.1999  8.9405e+01  3.3967e+01   2.6321 0.0087456 **       
                fesisJPN.2009  2.1560e+02  3.6112e+01   5.9703 4.472e-09 ***      
                fesisKOR.2009  1.5393e+02  5.3295e+01   2.8883 0.0040396 **       
                fesisKOR.2014 -3.7554e+02  4.0095e+01  -9.3663 < 2.2e-16 ***      
                fesisKOR.2016  2.2035e+02  4.0210e+01   5.4801 6.727e-08 ***      
                fesisUSA.2006  1.7660e+02  4.5950e+01   3.8433 0.0001369 ***      
                fesisUSA.2014 -1.9800e+02  2.7149e+01  -7.2931 1.182e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value         
                Ljung-Box AR(1)    1.3612  1 0.243329         
                Ljung-Box ARCH(1) 10.0207  1 0.001548 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    34.7698      
                R-squared            0.9986      
                Log-lik.(n=600)  -2932.6126      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Wed Jan 10 11:28:13 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.636232  0.024910 25.5415 < 2.2e-16 ***      
                lgdp           0.762430  0.084396  9.0340 < 2.2e-16 ***      
                lpop          -1.048106  0.266119 -3.9385 9.302e-05 ***      
                idAUT          0.195904  0.236754  0.8275 0.4083512          
                idBEL         -0.498357  0.250474 -1.9897 0.0471455 *        
                idBRA          1.058534  0.555081  1.9070 0.0570651 .        
                idCAN          0.669440  0.131204  5.1023 4.692e-07 ***      
                idCHE         -0.316161  0.255001 -1.2398 0.2155842          
                idCHN          2.476612  1.026591  2.4125 0.0161857 *        
                idDEU          1.904768  0.362058  5.2609 2.088e-07 ***      
                idDNK         -1.727383  0.371643 -4.6480 4.241e-06 ***      
                idESP          1.078493  0.216157  4.9894 8.239e-07 ***      
                idFIN         -0.173430  0.342615 -0.5062 0.6129324          
                idFRA          1.435668  0.296685  4.8390 1.716e-06 ***      
                idGBR          1.444132  0.292571  4.9360 1.071e-06 ***      
                idIND          1.376620  0.972640  1.4153 0.1575582          
                idISR         -0.866030  0.278275 -3.1121 0.0019581 **       
                idITA          1.112735  0.273465  4.0690 5.444e-05 ***      
                idJPN         -1.235605  0.507598 -2.4342 0.0152550 *        
                idKOR         -3.320619  0.492158 -6.7471 3.984e-11 ***      
                idNLD          0.475386  0.095432  4.9814 8.571e-07 ***      
                idNOR         -2.303228  0.429565 -5.3618 1.235e-07 ***      
                idRUS         -0.901839  0.498676 -1.8085 0.0711035 .        
                idSGP         -0.675070  0.416322 -1.6215 0.1055060          
                idSWE         -1.019041  0.278536 -3.6586 0.0002791 ***      
                idTWN          0.818604  0.082912  9.8732 < 2.2e-16 ***      
                idUSA          2.158710  0.664717  3.2476 0.0012381 **       
                time1996      -2.401691  4.133730 -0.5810 0.5614899          
                time1997      -2.451111  4.135741 -0.5927 0.5536591          
                time1998      -2.347439  4.136885 -0.5674 0.5706560          
                time1999      -2.255193  4.138382 -0.5449 0.5860214          
                time2000      -2.258907  4.140164 -0.5456 0.5855661          
                time2001      -2.219308  4.140840 -0.5360 0.5922151          
                time2002      -2.254488  4.142533 -0.5442 0.5865139          
                time2003      -2.192736  4.143455 -0.5292 0.5968863          
                time2004      -2.143159  4.145184 -0.5170 0.6053565          
                time2005      -2.076703  4.147272 -0.5007 0.6167635          
                time2006      -2.018724  4.149216 -0.4865 0.6267927          
                time2007      -1.902666  4.151926 -0.4583 0.6469538          
                time2008      -1.855776  4.153772 -0.4468 0.6552255          
                time2009      -1.822779  4.155064 -0.4387 0.6610670          
                time2010      -1.841407  4.155587 -0.4431 0.6578636          
                time2011      -1.850125  4.157268 -0.4450 0.6564780          
                time2012      -1.970290  4.159034 -0.4737 0.6358834          
                time2013      -2.083790  4.161045 -0.5008 0.6167314          
                time2014      -2.072210  4.163007 -0.4978 0.6188555          
                time2015      -2.119408  4.164977 -0.5089 0.6110604          
                time2016      -2.025424  4.167035 -0.4861 0.6271275          
                time2017      -1.983459  4.168720 -0.4758 0.6344170          
                time2018      -2.042743  4.170210 -0.4898 0.6244497          
                time2019      -2.191854  4.171666 -0.5254 0.5995161          
                iis50          0.886995  0.191038  4.6430 4.340e-06 ***      
                iis56         -0.612040  0.190237 -3.2173 0.0013738 **       
                iis73         -0.733782  0.192059 -3.8206 0.0001490 ***      
                iis94         -0.965798  0.203253 -4.7517 2.605e-06 ***      
                iis195         1.129026  0.198224  5.6957 2.044e-08 ***      
                iis223        -0.765278  0.190102 -4.0256 6.517e-05 ***      
                iis483         0.764872  0.195267  3.9171 0.0001014 ***      
                iis506        -1.158394  0.207854 -5.5731 3.998e-08 ***      
                iis515        -1.058932  0.200685 -5.2766 1.926e-07 ***      
                iis553        -0.918330  0.196135 -4.6821 3.616e-06 ***      
                iis556        -0.803460  0.191224 -4.2017 3.112e-05 ***      
                iis557        -0.741189  0.192446 -3.8514 0.0001319 ***      
                fesisBEL.1997  0.607294  0.190634  3.1856 0.0015298 **       
                fesisBRA.2014  0.298997  0.094958  3.1487 0.0017327 **       
                fesisDNK.2005  0.463684  0.083493  5.5536 4.444e-08 ***      
                fesisIND.1998 -0.727865  0.169925 -4.2834 2.188e-05 ***      
                fesisIND.2001  0.563909  0.119736  4.7096 3.178e-06 ***      
                fesisRUS.2007 -0.421045  0.088927 -4.7347 2.823e-06 ***      
                fesisSGP.2001 -0.809319  0.161851 -5.0004 7.803e-07 ***      
                fesisSGP.2003  1.071970  0.151958  7.0544 5.477e-12 ***      
                fesisSGP.2010 -0.389012  0.101909 -3.8172 0.0001510 ***      
                fesisSWE.1998 -0.597890  0.141110 -4.2370 2.674e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.8282  1   0.09262 .        
                Ljung-Box ARCH(1) 17.8007  1 2.453e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.18162      
                R-squared          0.98876      
                Log-lik.(n=600)  208.63173      
0.05

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Wed Jan 10 11:28:09 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.633359  0.022676 27.9311 < 2.2e-16 ***      
                lgdp           0.604574  0.086134  7.0190 7.350e-12 ***      
                lpop          -1.125066  0.286065 -3.9329 9.583e-05 ***      
                idAUT         -0.100008  0.243333 -0.4110 0.6812552          
                idBEL         -0.314928  0.199172 -1.5812 0.1144707          
                idBRA          1.501689  0.588232  2.5529 0.0109806 *        
                idCAN          0.729195  0.134828  5.4083 9.893e-08 ***      
                idCHE         -0.445876  0.277635 -1.6060 0.1089132          
                idCHN          3.285069  1.091027  3.0110 0.0027362 **       
                idDEU          2.114409  0.381776  5.5383 4.951e-08 ***      
                idDNK         -1.734702  0.399491 -4.3423 1.709e-05 ***      
                idESP          0.881185  0.225409  3.9093 0.0001054 ***      
                idFIN         -0.600038  0.355862 -1.6862 0.0923929 .        
                idFRA          1.573096  0.314014  5.0096 7.587e-07 ***      
                idGBR          1.551567  0.310304  5.0002 7.950e-07 ***      
                idIND          2.185000  1.022396  2.1371 0.0330735 *        
                idISR         -1.633142  0.371785 -4.3927 1.369e-05 ***      
                idITA          1.211826  0.290954  4.1650 3.670e-05 ***      
                idJPN         -0.165271  0.512161 -0.3227 0.7470632          
                idKOR         -2.188347  0.493529 -4.4341 1.139e-05 ***      
                idNLD          0.322275  0.090318  3.5682 0.0003942 ***      
                idNOR         -2.319882  0.460159 -5.0415 6.478e-07 ***      
                idRUS         -0.289414  0.509648 -0.5679 0.5703785          
                idSGP         -1.145973  0.435186 -2.6333 0.0087189 **       
                idSWE         -0.974176  0.290549 -3.3529 0.0008606 ***      
                idTWN          0.750565  0.078261  9.5905 < 2.2e-16 ***      
                idUSA          2.744874  0.701433  3.9132 0.0001037 ***      
                time1996       3.302996  4.285935  0.7707 0.4412744          
                time1997       3.270984  4.287089  0.7630 0.4458337          
                time1998       3.387480  4.288120  0.7900 0.4299221          
                time1999       3.471767  4.289693  0.8093 0.4187133          
                time2000       3.476901  4.291444  0.8102 0.4182159          
                time2001       3.512752  4.291993  0.8184 0.4134957          
                time2002       3.421026  4.293041  0.7969 0.4259022          
                time2003       3.540172  4.293742  0.8245 0.4100527          
                time2004       3.573256  4.295176  0.8319 0.4058511          
                time2005       3.648806  4.296983  0.8492 0.3962028          
                time2006       3.673378  4.298309  0.8546 0.3931780          
                time2007       3.815471  4.301162  0.8871 0.3754644          
                time2008       3.852013  4.302646  0.8953 0.3710775          
                time2009       3.912240  4.304318  0.9089 0.3638370          
                time2010       3.894794  4.304632  0.9048 0.3660134          
                time2011       3.891353  4.306336  0.9036 0.3666262          
                time2012       3.774275  4.308211  0.8761 0.3814168          
                time2013       3.682159  4.309944  0.8543 0.3933272          
                time2014       3.691070  4.312226  0.8560 0.3924345          
                time2015       3.611275  4.314061  0.8371 0.4029412          
                time2016       3.734756  4.316159  0.8653 0.3872928          
                time2017       3.769558  4.317644  0.8731 0.3830516          
                time2018       3.705600  4.319124  0.8580 0.3913318          
                time2019       3.624907  4.320660  0.8390 0.4018883          
                iis27         -0.524443  0.160244 -3.2728 0.0011389 **       
                iis49         -0.474768  0.181760 -2.6121 0.0092716 **       
                iis50          1.007119  0.182043  5.5323 5.114e-08 ***      
                iis56         -0.720985  0.161639 -4.4605 1.012e-05 ***      
                iis58         -0.566003  0.161327 -3.5084 0.0004916 ***      
                iis72         -0.634182  0.161181 -3.9346 9.518e-05 ***      
                iis73         -0.917359  0.192545 -4.7644 2.489e-06 ***      
                iis82          0.519657  0.162496  3.1980 0.0014720 **       
                iis83          0.513767  0.162552  3.1606 0.0016702 **       
                iis92          0.643901  0.162063  3.9731 8.141e-05 ***      
                iis94         -0.657708  0.162397 -4.0500 5.939e-05 ***      
                iis95          0.535322  0.162332  3.2977 0.0010445 **       
                iis145        -0.596500  0.168117 -3.5481 0.0004247 ***      
                iis147        -0.409195  0.165821 -2.4677 0.0139340 *        
                iis194        -0.480417  0.167868 -2.8619 0.0043888 **       
                iis195         1.041198  0.169040  6.1595 1.506e-09 ***      
                iis218        -0.361345  0.171813 -2.1031 0.0359552 *        
                iis223        -0.533500  0.171459 -3.1115 0.0019681 **       
                iis457         0.430095  0.161484  2.6634 0.0079863 **       
                iis474        -0.458964  0.159810 -2.8719 0.0042535 **       
                iis481         0.368186  0.168846  2.1806 0.0296805 *        
                iis483         0.822877  0.168394  4.8866 1.385e-06 ***      
                iis487         0.384521  0.167244  2.2992 0.0219086 *        
                iis490         0.418126  0.168784  2.4773 0.0135695 *        
                iis506        -1.158426  0.175506 -6.6005 1.051e-10 ***      
                iis510        -0.511159  0.222053 -2.3020 0.0217488 *        
                iis515        -0.963431  0.171646 -5.6129 3.308e-08 ***      
                iis517         0.357915  0.172200  2.0785 0.0381768 *        
                iis528        -0.451729  0.164726 -2.7423 0.0063206 **       
                iis553        -0.958510  0.166945 -5.7415 1.634e-08 ***      
                iis556        -0.836655  0.161318 -5.1864 3.125e-07 ***      
                iis557        -0.774997  0.162521 -4.7686 2.440e-06 ***      
                fesisBEL.2001  0.245710  0.098962  2.4829 0.0133613 *        
                fesisBRA.1999 -0.541231  0.143811 -3.7635 0.0001875 ***      
                fesisBRA.2002  0.401651  0.101293  3.9652 8.407e-05 ***      
                fesisCHE.2003 -0.597467  0.167213 -3.5731 0.0003871 ***      
                fesisCHE.2004  0.490543  0.161912  3.0297 0.0025752 **       
                fesisCHN.2015  0.256648  0.095433  2.6893 0.0074004 **       
                fesisDNK.2005  0.411382  0.073424  5.6028 3.495e-08 ***      
                fesisESP.2003  0.276991  0.083599  3.3133 0.0009891 ***      
                fesisIND.1998 -0.717927  0.143655 -4.9976 8.052e-07 ***      
                fesisIND.2001  0.688625  0.103662  6.6430 8.073e-11 ***      
                fesisISR.1997  0.576121  0.168543  3.4183 0.0006819 ***      
                fesisISR.2005 -0.375676  0.167185 -2.2471 0.0250732 *        
                fesisISR.2006  0.792266  0.180692  4.3846 1.418e-05 ***      
                fesisISR.2009 -0.381719  0.104286 -3.6603 0.0002788 ***      
                fesisRUS.2007 -0.263223  0.085634 -3.0738 0.0022294 **       
                fesisSGP.2001 -0.505920  0.175537 -2.8821 0.0041206 **       
                fesisSGP.2003  0.791363  0.172152  4.5969 5.443e-06 ***      
                fesisSGP.2010 -0.224373  0.095873 -2.3403 0.0196610 *        
                fesisSWE.1998 -0.563195  0.119622 -4.7081 3.245e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)    8.274  1 0.0040216 **       
                Ljung-Box ARCH(1) 13.435  1 0.0002469 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.15287      
                R-squared          0.99248      
                Log-lik.(n=600)  326.54962      

Ihs Count

0.01

                Formula: ihs_count~ ihs_gdp + ihs_pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Wed Jan 24 16:47:43 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.628868  0.024565 25.6003 < 2.2e-16 ***      
                ihs_gdp        0.768373  0.086064  8.9279 < 2.2e-16 ***      
                ihs_pop       -1.045833  0.274588 -3.8087 0.0001562 ***      
                idAUT          0.205804  0.245022  0.8399 0.4013229          
                idBEL          0.108323  0.185597  0.5836 0.5597085          
                idBRA          1.250469  0.575603  2.1725 0.0302675 *        
                idCAN          0.677047  0.135042  5.0136 7.313e-07 ***      
                idCHE         -0.306666  0.263821 -1.1624 0.2455988          
                idCHN          2.458284  1.061454  2.3160 0.0209441 *        
                idDEU          1.922276  0.372727  5.1573 3.553e-07 ***      
                idDNK         -1.735722  0.383294 -4.5284 7.357e-06 ***      
                idESP          1.076865  0.222549  4.8388 1.719e-06 ***      
                idFIN         -0.170069  0.354606 -0.4796 0.6317110          
                idFRA          1.445475  0.305705  4.7283 2.911e-06 ***      
                idGBR          1.453008  0.301396  4.8209 1.873e-06 ***      
                idIND          1.402848  1.006125  1.3943 0.1638131          
                idISR         -0.866201  0.287475 -3.0131 0.0027102 **       
                idITA          1.113926  0.282094  3.9488 8.925e-05 ***      
                idJPN         -1.242007  0.524873 -2.3663 0.0183282 *        
                idKOR         -3.341033  0.504951 -6.6166 9.070e-11 ***      
                idNLD          0.484155  0.098265  4.9271 1.120e-06 ***      
                idNOR         -2.314034  0.442234 -5.2326 2.418e-07 ***      
                idRUS         -0.937840  0.516020 -1.8174 0.0697174 .        
                idSGP         -0.695176  0.432262 -1.6082 0.1083854          
                idSWE         -0.997722  0.287145 -3.4746 0.0005538 ***      
                idTWN          0.835102  0.084453  9.8884 < 2.2e-16 ***      
                idUSA          2.167560  0.686554  3.1572 0.0016845 **       
                time1996      -2.146976  4.450222 -0.4824 0.6296923          
                time1997      -2.212838  4.452637 -0.4970 0.6194162          
                time1998      -2.095564  4.453836 -0.4705 0.6381874          
                time1999      -1.972968  4.455234 -0.4428 0.6580616          
                time2000      -1.976943  4.457062 -0.4436 0.6575482          
                time2001      -1.940185  4.457754 -0.4352 0.6635681          
                time2002      -1.994954  4.459173 -0.4474 0.6547834          
                time2003      -1.929477  4.460109 -0.4326 0.6654772          
                time2004      -1.881450  4.461888 -0.4217 0.6734372          
                time2005      -1.811962  4.464044 -0.4059 0.6849801          
                time2006      -1.751795  4.466071 -0.3922 0.6950359          
                time2007      -1.634223  4.468900 -0.3657 0.7147450          
                time2008      -1.585847  4.470868 -0.3547 0.7229515          
                time2009      -1.552052  4.472287 -0.3470 0.7287018          
                time2010      -1.568758  4.472842 -0.3507 0.7259317          
                time2011      -1.576503  4.474585 -0.3523 0.7247365          
                time2012      -1.697191  4.476423 -0.3791 0.7047370          
                time2013      -1.813283  4.478484 -0.4049 0.6857247          
                time2014      -1.789707  4.480735 -0.3994 0.6897440          
                time2015      -1.838679  4.482753 -0.4102 0.6818502          
                time2016      -1.743946  4.484856 -0.3889 0.6975429          
                time2017      -1.708214  4.486484 -0.3807 0.7035449          
                time2018      -1.760114  4.488135 -0.3922 0.6950911          
                time2019      -1.912179  4.489635 -0.4259 0.6703480          
                iis49         -0.723153  0.196441 -3.6813 0.0002560 ***      
                iis50          0.996306  0.197285  5.0501 6.099e-07 ***      
                iis56         -0.634335  0.195982 -3.2367 0.0012854 **       
                iis73         -1.274328  0.234616 -5.4315 8.552e-08 ***      
                iis94         -0.832830  0.196952 -4.2286 2.773e-05 ***      
                iis195         1.188053  0.204400  5.8124 1.069e-08 ***      
                iis223        -0.795007  0.195759 -4.0611 5.627e-05 ***      
                iis483         0.807133  0.201205  4.0115 6.908e-05 ***      
                iis506        -1.485673  0.214185 -6.9364 1.185e-11 ***      
                iis515        -1.130787  0.206809 -5.4678 7.051e-08 ***      
                iis553        -1.019699  0.202717 -5.0302 6.735e-07 ***      
                iis556        -0.863174  0.196975 -4.3822 1.419e-05 ***      
                iis557        -0.796920  0.198237 -4.0200 6.670e-05 ***      
                fesisBRA.1999 -0.706150  0.176210 -4.0074 7.024e-05 ***      
                fesisBRA.2002  0.610816  0.120644  5.0630 5.718e-07 ***      
                fesisDNK.2005  0.482058  0.085928  5.6100 3.275e-08 ***      
                fesisIND.1998 -0.891724  0.175242 -5.0885 5.031e-07 ***      
                fesisIND.2001  0.670170  0.123790  5.4138 9.397e-08 ***      
                fesisRUS.2007 -0.421281  0.091254 -4.6166 4.909e-06 ***      
                fesisSGP.2001 -0.985874  0.167469 -5.8869 7.017e-09 ***      
                fesisSGP.2003  1.299494  0.156663  8.2948 9.171e-16 ***      
                fesisSGP.2010 -0.423308  0.105083 -4.0283 6.446e-05 ***      
                fesisSWE.1998 -0.624817  0.145199 -4.3032 2.008e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    3.5542  1 0.0593959 .        
                Ljung-Box ARCH(1) 14.2476  1 0.0001603 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.18709      
                R-squared          0.98869      
                Log-lik.(n=600)  191.33236      
0.05

                Formula: ihs_count~ ihs_gdp + ihs_pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Wed Jan 24 16:47:41 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.640495  0.021923 29.2159 < 2.2e-16 ***      
                ihs_gdp        0.615202  0.088319  6.9656 1.032e-11 ***      
                ihs_pop       -1.058048  0.291743 -3.6266 0.0003165 ***      
                idAUT         -0.020062  0.252262 -0.0795 0.9366439          
                idBEL         -0.267193  0.206937 -1.2912 0.1972367          
                idBRA          1.179309  0.610635  1.9313 0.0540120 .        
                idCAN          0.694185  0.137608  5.0447 6.364e-07 ***      
                idCHE         -0.464944  0.275193 -1.6895 0.0917422 .        
                idCHN          2.974419  1.119412  2.6571 0.0081326 **       
                idDEU          2.002920  0.389001  5.1489 3.772e-07 ***      
                idDNK         -1.653103  0.407092 -4.0608 5.675e-05 ***      
                idESP          0.840858  0.230515  3.6477 0.0002923 ***      
                idFIN         -0.488310  0.367941 -1.3271 0.1850659          
                idFRA          1.489717  0.320124  4.6536 4.182e-06 ***      
                idGBR          1.473288  0.316100  4.6608 4.043e-06 ***      
                idIND          1.953144  1.052418  1.8559 0.0640601 .        
                idISR         -1.594493  0.382035 -4.1737 3.534e-05 ***      
                idITA          1.140975  0.296922  3.8427 0.0001373 ***      
                idJPN         -0.369060  0.538000 -0.6860 0.4930397          
                idKOR         -2.327448  0.515829 -4.5121 8.008e-06 ***      
                idNLD          0.347604  0.094303  3.6860 0.0002526 ***      
                idNOR         -2.247190  0.467385 -4.8080 2.019e-06 ***      
                idRUS         -0.470241  0.529623 -0.8879 0.3750320          
                idSGP         -1.000274  0.448938 -2.2281 0.0263177 *        
                idSWE         -0.938427  0.296111 -3.1692 0.0016222 **       
                idTWN          0.755005  0.079657  9.4781 < 2.2e-16 ***      
                idUSA          2.523574  0.719299  3.5084 0.0004914 ***      
                time1996       2.414174  4.620283  0.5225 0.6015417          
                time1997       2.386357  4.620851  0.5164 0.6057804          
                time1998       2.484594  4.622630  0.5375 0.5911713          
                time1999       2.587965  4.624447  0.5596 0.5759841          
                time2000       2.565159  4.625817  0.5545 0.5794629          
                time2001       2.613588  4.627699  0.5648 0.5724826          
                time2002       2.524341  4.628056  0.5454 0.5856915          
                time2003       2.622735  4.628771  0.5666 0.5712291          
                time2004       2.671012  4.630594  0.5768 0.5643213          
                time2005       2.744089  4.632460  0.5924 0.5538760          
                time2006       2.770580  4.634058  0.5979 0.5501946          
                time2007       2.908955  4.637012  0.6273 0.5307262          
                time2008       2.956450  4.639317  0.6373 0.5242468          
                time2009       2.999715  4.640218  0.6465 0.5182776          
                time2010       2.986139  4.640714  0.6435 0.5202166          
                time2011       2.981835  4.642515  0.6423 0.5209795          
                time2012       2.862781  4.644464  0.6164 0.5379200          
                time2013       2.750288  4.646508  0.5919 0.5541816          
                time2014       2.779325  4.648647  0.5979 0.5501914          
                time2015       2.697472  4.650433  0.5800 0.5621434          
                time2016       2.823817  4.652698  0.6069 0.5441787          
                time2017       2.857121  4.654203  0.6139 0.5395734          
                time2018       2.791293  4.655766  0.5995 0.5490874          
                time2019       2.690726  4.657643  0.5777 0.5637254          
                iis27         -0.548333  0.167898 -3.2659 0.0011660 **       
                iis49         -0.582370  0.190409 -3.0585 0.0023433 **       
                iis50          1.109897  0.190701  5.8201 1.051e-08 ***      
                iis56         -0.741367  0.169038 -4.3858 1.409e-05 ***      
                iis58         -0.585439  0.168942 -3.4653 0.0005751 ***      
                iis72         -0.633074  0.168651 -3.7537 0.0001946 ***      
                iis73         -1.056842  0.172371 -6.1312 1.770e-09 ***      
                iis75          0.520117  0.171648  3.0301 0.0025707 **       
                iis76         -0.584106  0.169603 -3.4440 0.0006213 ***      
                iis78         -0.653190  0.169584 -3.8517 0.0001325 ***      
                iis82          0.591265  0.169314  3.4921 0.0005216 ***      
                iis83          0.555195  0.169667  3.2723 0.0011405 **       
                iis92          0.680878  0.169140  4.0255 6.565e-05 ***      
                iis94         -0.675110  0.169610 -3.9804 7.899e-05 ***      
                iis95          0.585608  0.169100  3.4631 0.0005797 ***      
                iis145        -0.634358  0.176185 -3.6005 0.0003492 ***      
                iis147        -0.407531  0.173853 -2.3441 0.0194625 *        
                iis194        -0.530762  0.175616 -3.0223 0.0026371 **       
                iis195         1.104349  0.177030  6.2382 9.423e-10 ***      
                iis218        -0.419771  0.179946 -2.3328 0.0200560 *        
                iis223        -0.571941  0.179578 -3.1849 0.0015381 **       
                iis318         0.366247  0.173342  2.1129 0.0351063 *        
                iis457         0.496840  0.169028  2.9394 0.0034405 **       
                iis481         0.378811  0.176819  2.1424 0.0326457 *        
                iis483         0.873529  0.176481  4.9497 1.017e-06 ***      
                iis487         0.395737  0.175128  2.2597 0.0242683 *        
                iis490         0.442913  0.176588  2.5082 0.0124509 *        
                iis506        -1.528239  0.183817 -8.3139 8.779e-16 ***      
                iis510        -0.614376  0.232874 -2.6382 0.0085932 **       
                iis515        -1.105566  0.177255 -6.2372 9.482e-10 ***      
                iis553        -1.034884  0.175214 -5.9064 6.459e-09 ***      
                iis556        -0.876270  0.168892 -5.1883 3.087e-07 ***      
                iis557        -0.780881  0.169925 -4.5954 5.472e-06 ***      
                fesisBEL.2001  0.262420  0.103530  2.5347 0.0115569 *        
                fesisCHN.2015  0.237212  0.100059  2.3707 0.0181308 *        
                fesisDNK.2005  0.416447  0.076754  5.4257 9.002e-08 ***      
                fesisESP.2003  0.273965  0.087255  3.1398 0.0017903 **       
                fesisIND.1998 -0.859685  0.150584 -5.7090 1.949e-08 ***      
                fesisIND.2001  0.736491  0.109832  6.7056 5.424e-11 ***      
                fesisISR.1997  0.621677  0.176412  3.5240 0.0004640 ***      
                fesisISR.2005 -0.389732  0.174961 -2.2275 0.0263550 *        
                fesisISR.2006  0.802731  0.189194  4.2429 2.629e-05 ***      
                fesisISR.2009 -0.390096  0.109183 -3.5729 0.0003872 ***      
                fesisRUS.2007 -0.248115  0.088687 -2.7976 0.0053460 **       
                fesisSGP.2001 -0.649938  0.183883 -3.5345 0.0004464 ***      
                fesisSGP.2003  1.009538  0.178418  5.6583 2.575e-08 ***      
                fesisSGP.2010 -0.379210  0.093014 -4.0769 5.307e-05 ***      
                fesisSWE.1998 -0.552720  0.124913 -4.4248 1.185e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value         
                Ljung-Box AR(1)   9.7940  1 0.001751 **      
                Ljung-Box ARCH(1) 8.6171  1 0.003330 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.16009      
                R-squared          0.99211      
                Log-lik.(n=600)  297.34493      

Solar

top_25

Count

0.01

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:25:11 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.3181e-01  9.8967e-03  94.1542 < 2.2e-16 ***      
                gdp            6.5514e-14  3.0331e-14   2.1600 0.0312339 *        
                pop            9.9437e-09  3.1133e-08   0.3194 0.7495609          
                idAUT         -1.1926e+00  5.2322e+00  -0.2279 0.8197914          
                idBEL         -1.9964e+00  5.2283e+00  -0.3819 0.7027263          
                idBRA         -4.8645e+00  7.4172e+00  -0.6558 0.5122205          
                idCAN         -4.9336e-01  5.2281e+00  -0.0944 0.9248550          
                idCHE          7.0530e-02  5.2320e+00   0.0135 0.9892496          
                idCHN          6.9162e-01  4.0059e+01   0.0173 0.9862320          
                idDEU          2.4898e+01  7.0427e+00   3.5353 0.0004439 ***      
                idDNK         -2.8068e+00  5.2457e+00  -0.5351 0.5928417          
                idESP         -1.1112e-01  5.2639e+00  -0.0211 0.9831665          
                idFIN         -2.2936e+00  5.2458e+00  -0.4372 0.6621354          
                idFRA          5.3361e+00  5.4004e+00   0.9881 0.3235746          
                idGBR          9.6015e-01  5.3685e+00   0.1788 0.8581265          
                idIND         -1.7881e+01  3.6374e+01  -0.4916 0.6232275          
                idISR          4.7484e-01  5.2332e+00   0.0907 0.9277373          
                idITA          8.3957e-01  5.3440e+00   0.1571 0.8752232          
                idJPN          3.9081e-01  1.6103e+01   0.0243 0.9806475          
                idKOR         -5.4726e+01  2.9498e+01  -1.8552 0.0641350 .        
                idNLD          6.0830e-01  5.2173e+00   0.1166 0.9072287          
                idNOR         -2.8385e+00  5.2499e+00  -0.5407 0.5889691          
                idRUS         -8.7373e+00  6.5330e+00  -1.3374 0.1816758          
                idSGP         -2.5636e+00  5.2469e+00  -0.4886 0.6253372          
                idSWE         -2.0627e+00  5.2355e+00  -0.3940 0.6937524          
                idTWN          6.9912e+00  5.2521e+00   1.3311 0.1837366          
                idUSA          1.8293e+01  1.1163e+01   1.6387 0.1018762          
                time1996      -1.0128e+00  5.1442e+00  -0.1969 0.8440028          
                time1997      -1.1686e+00  5.1418e+00  -0.2273 0.8202991          
                time1998       1.3397e+00  5.1489e+00   0.2602 0.7948250          
                time1999      -5.3487e-01  5.1912e+00  -0.1030 0.9179758          
                time2000       2.5633e+00  5.1411e+00   0.4986 0.6182744          
                time2001       5.6830e-01  5.1427e+00   0.1105 0.9120501          
                time2002      -2.0091e+00  5.1442e+00  -0.3906 0.6962871          
                time2003       3.4115e+00  5.1472e+00   0.6628 0.5077638          
                time2004       2.3464e+00  5.1606e+00   0.4547 0.6495342          
                time2005       8.7363e+00  5.1659e+00   1.6911 0.0914123 .        
                time2006       8.1788e+00  5.2141e+00   1.5686 0.1173591          
                time2007       1.5650e+01  5.2304e+00   2.9922 0.0029023 **       
                time2008       2.1155e+01  5.3449e+00   3.9580 8.615e-05 ***      
                time2009       2.8099e+01  5.3283e+00   5.2735 1.971e-07 ***      
                time2010       5.5799e+00  5.3959e+00   1.0341 0.3015697          
                time2011       5.7544e+00  5.4166e+00   1.0624 0.2885627          
                time2012      -5.0457e+00  5.3972e+00  -0.9349 0.3502890          
                time2013      -5.3851e+00  5.3537e+00  -1.0059 0.3149505          
                time2014      -5.5773e+00  5.3561e+00  -1.0413 0.2982258          
                time2015      -5.2942e+00  5.3031e+00  -0.9983 0.3185956          
                time2016      -2.1277e-01  5.3185e+00  -0.0400 0.9681050          
                time2017       4.1767e+00  5.4456e+00   0.7670 0.4434344          
                time2018       6.1633e+00  5.3311e+00   1.1561 0.2481677          
                time2019      -7.8586e+00  5.3534e+00  -1.4680 0.1427168          
                iis166         9.5833e+01  2.1360e+01   4.4866 8.925e-06 ***      
                iis168        -3.5523e+02  2.1810e+01 -16.2872 < 2.2e-16 ***      
                iis181         1.1522e+02  2.0690e+01   5.5690 4.124e-08 ***      
                iis185        -1.2818e+02  2.0388e+01  -6.2870 6.890e-10 ***      
                iis186        -1.3530e+02  2.0060e+01  -6.7447 4.117e-11 ***      
                iis388         9.4140e+01  1.9285e+01   4.8815 1.405e-06 ***      
                iis397         2.4858e+02  1.9251e+01  12.9126 < 2.2e-16 ***      
                iis398         4.2103e+02  1.9429e+01  21.6700 < 2.2e-16 ***      
                iis399         4.5646e+02  2.0272e+01  22.5171 < 2.2e-16 ***      
                iis401        -1.9884e+02  2.1638e+01  -9.1896 < 2.2e-16 ***      
                iis403        -6.8749e+01  2.0752e+01  -3.3129 0.0009880 ***      
                iis406        -1.1451e+02  2.0682e+01  -5.5366 4.912e-08 ***      
                iis407        -5.5451e+01  2.0774e+01  -2.6692 0.0078425 **       
                iis427        -1.1158e+02  2.0658e+01  -5.4014 1.010e-07 ***      
                iis429         2.2154e+02  2.0759e+01  10.6720 < 2.2e-16 ***      
                iis430        -1.6264e+02  2.1035e+01  -7.7318 5.576e-14 ***      
                iis432        -1.3407e+02  2.1630e+01  -6.1980 1.169e-09 ***      
                iis587         1.8490e+02  2.1417e+01   8.6333 < 2.2e-16 ***      
                iis588         1.1175e+02  2.1305e+01   5.2454 2.278e-07 ***      
                iis589         3.0571e+02  2.1433e+01  14.2636 < 2.2e-16 ***      
                iis590         1.2786e+02  2.2026e+01   5.8051 1.123e-08 ***      
                iis598        -9.2971e+01  2.1354e+01  -4.3537 1.614e-05 ***      
                fesisCHN.2015  1.4931e+02  1.2231e+01  12.2072 < 2.2e-16 ***      
                fesisDEU.2007  7.1575e+01  1.1500e+01   6.2237 1.005e-09 ***      
                fesisDEU.2012 -1.1111e+02  1.2210e+01  -9.0999 < 2.2e-16 ***      
                fesisJPN.2012 -5.8389e+01  1.1435e+01  -5.1061 4.631e-07 ***      
                fesisKOR.2007  1.1659e+02  1.6131e+01   7.2275 1.777e-12 ***      
                fesisKOR.2012 -1.2968e+02  1.4922e+01  -8.6904 < 2.2e-16 ***      
                fesisUSA.2004  7.8351e+01  1.3246e+01   5.9150 6.041e-09 ***      
                fesisUSA.2011 -1.6046e+02  1.5068e+01 -10.6491 < 2.2e-16 ***      
                fesisUSA.2015  1.6772e+02  2.0856e+01   8.0419 6.076e-15 ***      
                fesisUSA.2016 -1.4324e+02  2.1345e+01  -6.7109 5.096e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.2643  1    0.1324          
                Ljung-Box ARCH(1) 57.6311  1 3.164e-14 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    18.06570      
                R-squared            0.99477      
                Log-lik.(n=600)  -2546.27214      
0.05

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:25:10 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error  t-stat   p-value          
                ar1            9.2754e-01  1.5297e-02 60.6371 < 2.2e-16 ***      
                gdp            2.0363e-13  2.1269e-14  9.5741 < 2.2e-16 ***      
                pop           -2.8799e-08  2.7836e-08 -1.0346 0.3013542          
                idAUT         -1.5954e+00  4.7622e+00 -0.3350 0.7377480          
                idBEL         -2.3310e+00  4.7609e+00 -0.4896 0.6246138          
                idBRA          1.2862e+00  6.6950e+00  0.1921 0.8477244          
                idCAN         -6.4885e-02  4.7547e+00 -0.0136 0.9891172          
                idCHE         -3.2561e-01  4.7582e+00 -0.0684 0.9454693          
                idCHN          4.6084e+01  3.5960e+01  1.2815 0.2005964          
                idDEU          2.7370e+01  6.5144e+00  4.2014 3.135e-05 ***      
                idDNK         -3.5945e+00  4.7844e+00 -0.7513 0.4528292          
                idESP          8.4481e-01  4.7859e+00  0.1765 0.8599540          
                idFIN         -2.8593e+00  4.7851e+00 -0.5975 0.5504116          
                idFRA          7.1247e+00  4.9515e+00  1.4389 0.1507920          
                idGBR          2.5897e+00  4.8870e+00  0.5299 0.5964061          
                idIND          1.6993e+01  3.2753e+01  0.5188 0.6041077          
                idISR         -4.0652e-03  4.7595e+00 -0.0009 0.9993188          
                idITA          2.3234e+00  4.8617e+00  0.4779 0.6329274          
                idJPN         -6.3427e+01  1.1252e+01 -5.6367 2.883e-08 ***      
                idKOR         -1.6765e+02  2.1875e+01 -7.6642 9.253e-14 ***      
                idNLD          5.2545e-01  4.7453e+00  0.1107 0.9118743          
                idNOR         -3.7857e+00  4.7908e+00 -0.7902 0.4297866          
                idRUS         -1.3528e+01  5.9679e+00 -2.2668 0.0238237 *        
                idSGP         -3.1606e+00  4.7849e+00 -0.6605 0.5092140          
                idSWE         -2.9265e+00  4.7723e+00 -0.6132 0.5399986          
                idTWN          7.4008e+00  4.8403e+00  1.5290 0.1268912          
                idUSA          2.6952e+01  1.0178e+01  2.6480 0.0083494 **       
                time1996       2.4937e-01  4.6744e+00  0.0533 0.9574763          
                time1997      -1.4194e-01  4.6737e+00 -0.0304 0.9757841          
                time1998       2.6744e+00  4.6788e+00  0.5716 0.5678406          
                time1999       2.0083e-01  4.7212e+00  0.0425 0.9660874          
                time2000       3.0050e+00  4.6776e+00  0.6424 0.5208959          
                time2001       7.9670e-01  4.6810e+00  0.1702 0.8649203          
                time2002      -2.5421e-01  4.7295e+00 -0.0537 0.9571557          
                time2003       3.0403e+00  4.6848e+00  0.6490 0.5166480          
                time2004       3.3092e+00  4.7294e+00  0.6997 0.4844287          
                time2005       9.0232e+00  4.7889e+00  1.8842 0.0601112 .        
                time2006       9.7048e+00  4.8032e+00  2.0205 0.0438592 *        
                time2007       1.6888e+01  4.8018e+00  3.5170 0.0004757 ***      
                time2008       1.9547e+01  4.9384e+00  3.9582 8.632e-05 ***      
                time2009       2.7801e+01  4.9368e+00  5.6314 2.967e-08 ***      
                time2010       7.4933e+00  5.0097e+00  1.4958 0.1353395          
                time2011       8.1881e+00  5.0485e+00  1.6219 0.1054517          
                time2012      -3.2283e+00  5.0554e+00 -0.6386 0.5233804          
                time2013      -3.7861e+00  5.0051e+00 -0.7565 0.4497280          
                time2014      -4.6456e+00  4.9326e+00 -0.9418 0.3467381          
                time2015      -2.9636e+00  4.9078e+00 -0.6038 0.5462180          
                time2016       7.9183e-01  4.8751e+00  0.1624 0.8710376          
                time2017       4.8278e+00  4.9770e+00  0.9700 0.3325044          
                time2018       2.3536e-01  4.9283e+00  0.0478 0.9619284          
                time2019      -4.5710e+00  4.9117e+00 -0.9306 0.3524890          
                iis164         1.0841e+02  1.7464e+01  6.2078 1.120e-09 ***      
                iis165         1.6983e+02  1.7803e+01  9.5395 < 2.2e-16 ***      
                iis166         2.4460e+02  1.8536e+01 13.1959 < 2.2e-16 ***      
                iis167         1.7236e+02  2.0061e+01  8.5918 < 2.2e-16 ***      
                iis168        -2.0848e+02  2.1331e+01 -9.7739 < 2.2e-16 ***      
                iis180         5.0656e+01  2.0162e+01  2.5125 0.0122993 *        
                iis181         1.3005e+02  1.9780e+01  6.5751 1.213e-10 ***      
                iis185        -1.2762e+02  1.9245e+01 -6.6311 8.571e-11 ***      
                iis186        -1.3536e+02  1.8450e+01 -7.3369 8.756e-13 ***      
                iis388         9.8200e+01  1.7554e+01  5.5942 3.634e-08 ***      
                iis397         2.4915e+02  1.7671e+01 14.0997 < 2.2e-16 ***      
                iis398         4.8823e+02  1.8852e+01 25.8979 < 2.2e-16 ***      
                iis399         5.2052e+02  1.9393e+01 26.8413 < 2.2e-16 ***      
                iis400         7.6996e+01  2.1711e+01  3.5465 0.0004267 ***      
                iis401        -1.9254e+02  2.1303e+01 -9.0382 < 2.2e-16 ***      
                iis403        -6.5219e+01  1.9064e+01 -3.4211 0.0006741 ***      
                iis406        -1.1492e+02  1.8829e+01 -6.1033 2.069e-09 ***      
                iis407        -5.0563e+01  1.9161e+01 -2.6389 0.0085739 **       
                iis415        -4.7569e+01  1.7586e+01 -2.7050 0.0070611 **       
                iis418        -4.9104e+01  1.7832e+01 -2.7538 0.0061036 **       
                iis419        -7.3024e+01  1.8074e+01 -4.0403 6.167e-05 ***      
                iis421         1.0134e+02  1.8541e+01  5.4658 7.246e-08 ***      
                iis422         8.8674e+01  1.8523e+01  4.7872 2.224e-06 ***      
                iis427        -1.0905e+02  1.8801e+01 -5.8003 1.167e-08 ***      
                iis429         2.1038e+02  1.8903e+01 11.1293 < 2.2e-16 ***      
                iis430        -1.7993e+02  1.8978e+01 -9.4808 < 2.2e-16 ***      
                iis432        -1.6718e+02  1.9267e+01 -8.6769 < 2.2e-16 ***      
                iis586         5.8534e+01  2.3734e+01  2.4662 0.0139859 *        
                iis587         3.4481e+02  2.1541e+01 16.0076 < 2.2e-16 ***      
                iis588         2.7318e+02  1.9668e+01 13.8900 < 2.2e-16 ***      
                iis589         4.7089e+02  1.8935e+01 24.8682 < 2.2e-16 ***      
                iis590         2.9349e+02  1.8442e+01 15.9138 < 2.2e-16 ***      
                iis591         1.9167e+02  1.8694e+01 10.2533 < 2.2e-16 ***      
                iis596         1.6899e+02  1.8864e+01  8.9582 < 2.2e-16 ***      
                iis598        -6.5846e+01  1.9184e+01 -3.4324 0.0006473 ***      
                fesisDEU.2007  6.0426e+01  1.3512e+01  4.4720 9.574e-06 ***      
                fesisDEU.2012 -9.8822e+01  1.3150e+01 -7.5148 2.606e-13 ***      
                fesisJPN.2009 -6.2688e+01  1.2251e+01 -5.1170 4.416e-07 ***      
                fesisKOR.2012 -1.2128e+02  1.5282e+01 -7.9358 1.356e-14 ***      
                fesisUSA.2004  3.6211e+01  1.7825e+01  2.0315 0.0427295 *        
                fesisUSA.2006 -1.1719e+02  2.2706e+01 -5.1609 3.537e-07 ***      
                fesisUSA.2018  1.3532e+02  2.0040e+01  6.7526 3.995e-11 ***      
                fesisUSA.2019 -1.7295e+02  2.3778e+01 -7.2733 1.343e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    1.9686  1    0.1606          
                Ljung-Box ARCH(1) 55.1363  1 1.125e-13 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    16.43088      
                R-squared            0.99576      
                Log-lik.(n=600)  -2483.86075      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:30:43 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                ar1             0.378664   0.032417  11.6812 < 2.2e-16 ***      
                lgdp            1.379616   0.139284   9.9051 < 2.2e-16 ***      
                lpop           -0.845030   0.449291  -1.8808 0.0605493 .        
                idAUT           0.688552   0.374603   1.8381 0.0666124 .        
                idBEL           0.481014   0.285721   1.6835 0.0928692 .        
                idBRA          -1.253656   0.964135  -1.3003 0.1940697          
                idCAN          -0.208166   0.252128  -0.8256 0.4093831          
                idCHE           0.109689   0.413699   0.2651 0.7910038          
                idCHN          -0.678782   1.721849  -0.3942 0.6935805          
                idDEU           1.187264   0.611512   1.9415 0.0527276 .        
                idDNK          -3.359732   0.639292  -5.2554 2.149e-07 ***      
                idESP           0.760940   0.397625   1.9137 0.0561981 .        
                idFIN           0.322612   0.544336   0.5927 0.5536555          
                idFRA           0.576368   0.514015   1.1213 0.2626687          
                idGBR           0.628896   0.509540   1.2342 0.2176625          
                idIND          -2.804796   1.657734  -1.6919 0.0912474 .        
                idISR          -0.750840   0.456148  -1.6460 0.1003507          
                idITA           0.478792   0.485844   0.9855 0.3248376          
                idJPN          -5.129969   0.836077  -6.1358 1.666e-09 ***      
                idKOR          -8.635480   0.838331 -10.3008 < 2.2e-16 ***      
                idNLD          -0.369552   0.370995  -0.9961 0.3196535          
                idNOR          -3.470487   0.720974  -4.8136 1.939e-06 ***      
                idRUS          -4.384392   0.847967  -5.1705 3.321e-07 ***      
                idSGP          -0.289581   0.601033  -0.4818 0.6301444          
                idSWE          -2.357548   0.465013  -5.0699 5.521e-07 ***      
                idTWN           0.301616   0.199278   1.5135 0.1307414          
                idUSA           0.222153   1.107272   0.2006 0.8410643          
                time1996      -22.389928   6.660601  -3.3615 0.0008313 ***      
                time1997      -22.647013   6.662566  -3.3991 0.0007272 ***      
                time1998      -22.397482   6.665548  -3.3602 0.0008353 ***      
                time1999      -22.328509   6.668849  -3.3482 0.0008716 ***      
                time2000      -22.317862   6.670184  -3.3459 0.0008786 ***      
                time2001      -22.324437   6.674094  -3.3449 0.0008816 ***      
                time2002      -22.221597   6.676803  -3.3282 0.0009352 ***      
                time2003      -22.082015   6.679105  -3.3061 0.0010104 **       
                time2004      -22.131045   6.682048  -3.3120 0.0009898 ***      
                time2005      -21.974323   6.684394  -3.2874 0.0010786 **       
                time2006      -21.842561   6.687536  -3.2662 0.0011611 **       
                time2007      -21.592296   6.689217  -3.2279 0.0013245 **       
                time2008      -21.399771   6.690961  -3.1983 0.0014654 **       
                time2009      -21.230887   6.692368  -3.1724 0.0015999 **       
                time2010      -21.323270   6.693930  -3.1855 0.0015308 **       
                time2011      -21.418176   6.696948  -3.1982 0.0014660 **       
                time2012      -21.466869   6.700006  -3.2040 0.0014373 **       
                time2013      -21.732417   6.703155  -3.2421 0.0012615 **       
                time2014      -21.738374   6.707034  -3.2411 0.0012658 **       
                time2015      -21.840756   6.710201  -3.2549 0.0012073 **       
                time2016      -21.768239   6.713952  -3.2422 0.0012610 **       
                time2017      -21.865323   6.716224  -3.2556 0.0012043 **       
                time2018      -21.945525   6.718780  -3.2663 0.0011605 **       
                time2019      -22.089044   6.722275  -3.2859 0.0010840 **       
                iis50           1.130681   0.351977   3.2124 0.0013969 **       
                iis87          -1.121088   0.353345  -3.1728 0.0015979 **       
                iis98          -1.136936   0.352069  -3.2293 0.0013183 **       
                iis100         -1.301356   0.352017  -3.6969 0.0002412 ***      
                iis223         -1.437813   0.352687  -4.0767 5.272e-05 ***      
                iis237         -1.046934   0.351128  -2.9816 0.0029998 **       
                iis245         -1.086174   0.351351  -3.0914 0.0020974 **       
                iis363         -1.772360   0.351815  -5.0378 6.481e-07 ***      
                iis434          1.339932   0.354125   3.7838 0.0001722 ***      
                iis463         -1.218693   0.351145  -3.4706 0.0005618 ***      
                iis504         -0.954117   0.355288  -2.6855 0.0074709 **       
                iis515         -1.805629   0.352247  -5.1260 4.162e-07 ***      
                iis553         -1.158414   0.367984  -3.1480 0.0017370 **       
                iis556         -1.402827   0.367741  -3.8147 0.0001525 ***      
                fesisAUS.2005  -0.482768   0.150318  -3.2116 0.0014004 **       
                fesisBRA.2014   0.601304   0.164429   3.6569 0.0002809 ***      
                fesisDNK.2001   0.655361   0.175317   3.7382 0.0002057 ***      
                fesisKOR.2003   0.933270   0.162681   5.7368 1.628e-08 ***      
                fesisNLD.1997   0.962657   0.352052   2.7344 0.0064594 **       
                fesisRUS.2004  -0.794880   0.167594  -4.7429 2.716e-06 ***      
                fesisSWE.2001  -0.608833   0.174306  -3.4929 0.0005180 ***      
                fesisTWN.2005   0.691796   0.167540   4.1291 4.233e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.3593  1    0.1245          
                Ljung-Box ARCH(1) 17.5985  1 2.728e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.33614      
                R-squared           0.96594      
                Log-lik.(n=600)  -160.72229      
0.05

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:31:22 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1             0.41450   0.03012 13.7615 < 2.2e-16 ***      
                lgdp            1.17624   0.13752  8.5532 < 2.2e-16 ***      
                lpop           -0.66703   0.48119 -1.3862 0.1663058          
                idAUT           1.27077   0.42749  2.9726 0.0030954 **       
                idBEL           0.45597   0.28946  1.5753 0.1158294          
                idBRA          -1.23706   1.04469 -1.1841 0.2369187          
                idCAN          -0.12532   0.26598 -0.4712 0.6377184          
                idCHE           0.20614   0.43398  0.4750 0.6349961          
                idCHN          -0.78124   1.86519 -0.4188 0.6755068          
                idDEU           1.10884   0.65095  1.7034 0.0891135 .        
                idDNK          -2.89893   0.66163 -4.3815 1.438e-05 ***      
                idESP           0.43427   0.42311  1.0264 0.3052212          
                idFIN           1.20043   0.62385  1.9242 0.0548964 .        
                idFRA           0.53137   0.54946  0.9671 0.3339754          
                idGBR           0.55945   0.54426  1.0279 0.3044860          
                idIND          -2.63235   1.79079 -1.4699 0.1422114          
                idISR          -1.10421   0.57954 -1.9053 0.0573133 .        
                idITA           0.43564   0.52022  0.8374 0.4027596          
                idJPN          -4.25574   0.87032 -4.8899 1.364e-06 ***      
                idKOR          -7.36654   0.82407 -8.9392 < 2.2e-16 ***      
                idNLD          -0.27189   0.32367 -0.8400 0.4012892          
                idNOR          -2.55691   0.78525 -3.2562 0.0012062 **       
                idRUS          -4.01661   0.90875 -4.4199 1.213e-05 ***      
                idSGP          -0.07414   0.69304 -0.1070 0.9148496          
                idSWE          -2.05968   0.47539 -4.3326 1.783e-05 ***      
                idTWN           0.29765   0.18814  1.5821 0.1142730          
                idUSA           0.24912   1.18867  0.2096 0.8340808          
                time1996      -20.00736   7.13020 -2.8060 0.0052124 **       
                time1997      -20.12559   7.13396 -2.8211 0.0049771 **       
                time1998      -19.83322   7.13437 -2.7800 0.0056424 **       
                time1999      -19.81805   7.13711 -2.7768 0.0056973 **       
                time2000      -19.80720   7.13813 -2.7748 0.0057304 **       
                time2001      -19.72949   7.14252 -2.7623 0.0059525 **       
                time2002      -19.82375   7.14411 -2.7748 0.0057305 **       
                time2003      -19.64351   7.14548 -2.7491 0.0061933 **       
                time2004      -19.61713   7.14741 -2.7447 0.0062763 **       
                time2005      -19.46572   7.14933 -2.7227 0.0067015 **       
                time2006      -19.38112   7.15036 -2.7105 0.0069498 **       
                time2007      -19.14975   7.15148 -2.6777 0.0076571 **       
                time2008      -18.93773   7.15339 -2.6474 0.0083689 **       
                time2009      -18.78858   7.15491 -2.6260 0.0089061 **       
                time2010      -18.88237   7.15611 -2.6386 0.0085847 **       
                time2011      -18.97426   7.15935 -2.6503 0.0082985 **       
                time2012      -19.02095   7.16262 -2.6556 0.0081708 **       
                time2013      -19.31628   7.16587 -2.6956 0.0072640 **       
                time2014      -19.27457   7.17012 -2.6882 0.0074249 **       
                time2015      -19.39147   7.17418 -2.7030 0.0071075 **       
                time2016      -19.30700   7.17830 -2.6896 0.0073931 **       
                time2017      -19.40508   7.18051 -2.7025 0.0071177 **       
                time2018      -19.48090   7.18317 -2.7120 0.0069187 **       
                time2019      -19.66151   7.18768 -2.7354 0.0064519 **       
                iis8            0.71170   0.31166  2.2836 0.0228163 *        
                iis27          -1.06441   0.30293 -3.5138 0.0004821 ***      
                iis50           1.10436   0.30164  3.6612 0.0002779 ***      
                iis82          -0.72073   0.30309 -2.3779 0.0177864 *        
                iis87          -1.14400   0.30246 -3.7823 0.0001743 ***      
                iis98          -1.20478   0.30336 -3.9715 8.196e-05 ***      
                iis99           0.67905   0.30341  2.2380 0.0256593 *        
                iis100         -1.35669   0.30197 -4.4928 8.748e-06 ***      
                iis106         -0.90922   0.30131 -3.0175 0.0026789 **       
                iis199          0.98159   0.30497  3.2186 0.0013719 **       
                iis201         -0.93064   0.30363 -3.0650 0.0022947 **       
                iis202          0.79490   0.30568  2.6004 0.0095870 **       
                iis204          0.85722   0.30367  2.8229 0.0049495 **       
                iis210          0.83211   0.30527  2.7258 0.0066402 **       
                iis237         -1.17617   0.30226 -3.8913 0.0001133 ***      
                iis242         -0.70268   0.30564 -2.2991 0.0219143 *        
                iis245         -1.07605   0.30147 -3.5694 0.0003925 ***      
                iis264          0.94024   0.30107  3.1230 0.0018944 **       
                iis319          0.93661   0.30260  3.0952 0.0020776 **       
                iis363         -1.82933   0.30172 -6.0630 2.643e-09 ***      
                iis434          1.34187   0.30342  4.4225 1.199e-05 ***      
                iis463         -1.15164   0.30200 -3.8134 0.0001542 ***      
                iis481          0.83807   0.33000  2.5396 0.0114013 *        
                iis487          1.47235   0.30803  4.7799 2.312e-06 ***      
                iis488          1.16133   0.30730  3.7791 0.0001765 ***      
                iis491          0.77507   0.30368  2.5522 0.0110007 *        
                iis504         -0.84206   0.30441 -2.7662 0.0058820 **       
                iis515         -1.77589   0.31087 -5.7126 1.916e-08 ***      
                iis529          0.71151   0.33139  2.1470 0.0322731 *        
                iis553         -1.01269   0.31578 -3.2069 0.0014278 **       
                iis556         -1.42415   0.31429 -4.5313 7.346e-06 ***      
                fesisAUS.2005  -0.36062   0.13781 -2.6167 0.0091482 **       
                fesisAUT.1998  -0.61119   0.22084 -2.7676 0.0058565 **       
                fesisBRA.2014   0.56093   0.14235  3.9404 9.296e-05 ***      
                fesisCHN.2015   0.47999   0.18172  2.6413 0.0085175 **       
                fesisDNK.2001   0.51544   0.15665  3.2904 0.0010712 **       
                fesisESP.2001  -0.84963   0.24721 -3.4369 0.0006377 ***      
                fesisESP.2003   1.20434   0.22283  5.4047 1.008e-07 ***      
                fesisFIN.1997  -0.92295   0.30443 -3.0317 0.0025583 **       
                fesisISR.1998   0.61452   0.23160  2.6534 0.0082233 **       
                fesisKOR.2003   0.63050   0.18595  3.3907 0.0007526 ***      
                fesisKOR.2007   0.41691   0.17278  2.4130 0.0161810 *        
                fesisNLD.1997   0.84409   0.30239  2.7914 0.0054496 **       
                fesisNOR.1998  -1.35268   0.36050 -3.7522 0.0001959 ***      
                fesisNOR.1999   1.01173   0.30343  3.3343 0.0009190 ***      
                fesisRUS.2001  -0.60693   0.18480 -3.2843 0.0010944 **       
                fesisSGP.2001  -0.78836   0.24746 -3.1858 0.0015339 **       
                fesisSGP.2003   1.13449   0.26867  4.2226 2.872e-05 ***      
                fesisSGP.2006  -0.50548   0.20155 -2.5079 0.0124615 *        
                fesisSWE.2001  -0.42590   0.16451 -2.5889 0.0099113 **       
                fesisTWN.2005   0.67073   0.14519  4.6198 4.898e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value      
                Ljung-Box AR(1)   0.33894  1  0.5604      
                Ljung-Box ARCH(1) 0.46044  1  0.4974      
                                                
                SE of regression   0.28700      
                R-squared          0.97653      
                Log-lik.(n=600)  -51.40885      

Ihs Count

0.01

                Formula: ihs_count~ ihs_gdp + ihs_pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Wed Jan 24 16:50:26 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                ar1             0.307951   0.032071   9.6023 < 2.2e-16 ***      
                ihs_gdp         1.613572   0.152880  10.5545 < 2.2e-16 ***      
                ihs_pop        -0.059277   0.549914  -0.1078 0.9142008          
                idAUT           1.599948   0.470275   3.4022 0.0007198 ***      
                idBEL           1.122833   0.353556   3.1758 0.0015822 **       
                idBRA          -3.793587   1.203999  -3.1508 0.0017213 **       
                idCAN          -0.063459   0.388690  -0.1633 0.8703748          
                idCHE           1.003766   0.514132   1.9523 0.0514299 .        
                idCHN          -4.773825   2.171206  -2.1987 0.0283366 *        
                idDEU           0.019415   0.756242   0.0257 0.9795279          
                idDNK          -3.033047   0.761754  -3.9817 7.812e-05 ***      
                idESP           0.069745   0.477030   0.1462 0.8838148          
                idFIN           1.575619   0.688396   2.2888 0.0224871 *        
                idFRA          -0.442627   0.634161  -0.6980 0.4855040          
                idGBR          -0.332874   0.625453  -0.5322 0.5948043          
                idIND          -7.158571   2.105248  -3.4003 0.0007244 ***      
                idISR           0.026244   0.558636   0.0470 0.9625483          
                idITA          -0.477906   0.597081  -0.8004 0.4238404          
                idJPN          -7.801791   1.059953  -7.3605 7.153e-13 ***      
                idKOR         -10.930691   0.968339 -11.2881 < 2.2e-16 ***      
                idNLD          -0.368476   0.410011  -0.8987 0.3692275          
                idNOR          -2.809198   0.855505  -3.2837 0.0010932 **       
                idRUS          -7.165193   1.085795  -6.5990 1.017e-10 ***      
                idSGP           1.082705   0.826027   1.3107 0.1905215          
                idSWE          -2.089749   0.536480  -3.8953 0.0001108 ***      
                idTWN           0.207113   0.215665   0.9603 0.3373245          
                idUSA          -2.339881   1.397258  -1.6746 0.0946059 .        
                time1996      -42.556350   8.910296  -4.7761 2.324e-06 ***      
                time1997      -42.780354   8.912117  -4.8002 2.071e-06 ***      
                time1998      -42.631281   8.915993  -4.7814 2.266e-06 ***      
                time1999      -42.456963   8.920529  -4.7595 2.516e-06 ***      
                time2000      -42.429139   8.922126  -4.7555 2.563e-06 ***      
                time2001      -42.422416   8.925837  -4.7528 2.597e-06 ***      
                time2002      -42.269501   8.929514  -4.7337 2.842e-06 ***      
                time2003      -42.177054   8.932242  -4.7219 3.005e-06 ***      
                time2004      -42.241144   8.935754  -4.7272 2.931e-06 ***      
                time2005      -42.032144   8.937366  -4.7030 3.285e-06 ***      
                time2006      -41.900832   8.940851  -4.6864 3.550e-06 ***      
                time2007      -41.618794   8.941597  -4.6545 4.121e-06 ***      
                time2008      -41.400992   8.943773  -4.6290 4.640e-06 ***      
                time2009      -41.199138   8.945493  -4.6056 5.172e-06 ***      
                time2010      -41.297301   8.947571  -4.6155 4.940e-06 ***      
                time2011      -41.398470   8.951643  -4.6247 4.734e-06 ***      
                time2012      -41.454923   8.955540  -4.6290 4.641e-06 ***      
                time2013      -41.748699   8.959568  -4.6597 4.023e-06 ***      
                time2014      -41.786492   8.964532  -4.6613 3.993e-06 ***      
                time2015      -41.909039   8.968591  -4.6729 3.783e-06 ***      
                time2016      -41.889155   8.973059  -4.6683 3.864e-06 ***      
                time2017      -41.960406   8.976392  -4.6745 3.754e-06 ***      
                time2018      -42.051984   8.979742  -4.6830 3.608e-06 ***      
                time2019      -42.214054   8.984221  -4.6987 3.352e-06 ***      
                iis50           1.233754   0.386272   3.1940 0.0014877 **       
                iis87          -1.268753   0.387421  -3.2749 0.0011271 **       
                iis98          -2.117294   0.463638  -4.5667 6.185e-06 ***      
                iis100         -1.399987   0.387288  -3.6149 0.0003296 ***      
                iis223         -1.763600   0.386485  -4.5632 6.285e-06 ***      
                iis242         -1.059390   0.389380  -2.7207 0.0067311 **       
                iis245         -1.540232   0.385710  -3.9932 7.451e-05 ***      
                iis363         -2.103799   0.386218  -5.4472 7.889e-08 ***      
                iis463         -1.667984   0.385241  -4.3297 1.790e-05 ***      
                iis504         -1.057648   0.389802  -2.7133 0.0068815 **       
                iis515         -2.083803   0.398069  -5.2348 2.396e-07 ***      
                iis553         -1.607632   0.401358  -4.0055 7.086e-05 ***      
                iis556         -1.785207   0.400198  -4.4608 1.000e-05 ***      
                fesisAUS.2005  -0.679069   0.168024  -4.0415 6.109e-05 ***      
                fesisBRA.2014   0.844861   0.181541   4.6538 4.134e-06 ***      
                fesisCAN.1999  -0.750574   0.282273  -2.6590 0.0080767 **       
                fesisDNK.2001   1.024159   0.193526   5.2921 1.782e-07 ***      
                fesisKOR.2003   0.986028   0.176858   5.5753 3.966e-08 ***      
                fesisNLD.1997   2.338502   0.461482   5.0674 5.604e-07 ***      
                fesisNLD.1999  -1.146177   0.280207  -4.0905 4.984e-05 ***      
                fesisRUS.2004  -0.740077   0.183439  -4.0345 6.289e-05 ***      
                fesisSGP.2001  -1.078626   0.316370  -3.4094 0.0007014 ***      
                fesisSGP.2003   1.551985   0.344135   4.5098 8.017e-06 ***      
                fesisSGP.2006  -0.743622   0.256310  -2.9013 0.0038732 **       
                fesisSWE.2001  -0.695526   0.191258  -3.6366 0.0003036 ***      
                fesisTWN.2006   0.806029   0.178363   4.5190 7.688e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    1.9081  1    0.1672          
                Ljung-Box ARCH(1) 20.3928  1 6.307e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.36856      
                R-squared           0.96512      
                Log-lik.(n=600)  -213.96893      
0.05

                Formula: ihs_count~ ihs_gdp + ihs_pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Wed Jan 24 16:50:22 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                ar1             0.284481   0.030321   9.3824 < 2.2e-16 ***      
                ihs_gdp         1.734537   0.133718  12.9716 < 2.2e-16 ***      
                ihs_pop        -0.528765   0.509005  -1.0388 0.2993914          
                idAUT           2.123410   0.478979   4.4332 1.143e-05 ***      
                idBEL           0.941292   0.322945   2.9147 0.0037201 **       
                idBRA          -2.720928   1.120977  -2.4273 0.0155653 *        
                idCAN          -0.616361   0.285964  -2.1554 0.0316099 *        
                idCHE           1.196164   0.502645   2.3797 0.0176996 *        
                idCHN          -3.215474   2.032078  -1.5824 0.1142016          
                idDEU           0.618661   0.700801   0.8828 0.3777741          
                idDNK          -3.712282   0.692224  -5.3628 1.255e-07 ***      
                idESP           0.323455   0.441258   0.7330 0.4638856          
                idFIN           2.183672   0.694918   3.1423 0.0017756 **       
                idFRA           0.041454   0.589151   0.0704 0.9439340          
                idGBR           0.154423   0.580170   0.2662 0.7902194          
                idIND          -5.819402   1.978685  -2.9410 0.0034230 **       
                idISR          -0.995629   0.627273  -1.5872 0.1130930          
                idITA          -0.024777   0.555096  -0.0446 0.9644157          
                idJPN          -7.607444   0.982716  -7.7412 5.516e-14 ***      
                idKOR         -11.294263   0.867317 -13.0221 < 2.2e-16 ***      
                idNLD           1.949182   0.269548   7.2313 1.810e-12 ***      
                idNOR          -3.330727   0.798397  -4.1718 3.565e-05 ***      
                idRUS          -6.825109   1.030403  -6.6237 9.084e-11 ***      
                idSGP           0.528238   0.765536   0.6900 0.4905003          
                idSWE          -2.560946   0.480807  -5.3264 1.519e-07 ***      
                idTWN           0.272062   0.188929   1.4400 0.1504878          
                idUSA          -1.329595   1.304275  -1.0194 0.3085008          
                time1996      -37.833136   8.374320  -4.5178 7.810e-06 ***      
                time1997      -38.003022   8.377881  -4.5361 7.185e-06 ***      
                time1998      -37.747986   8.376615  -4.5064 8.224e-06 ***      
                time1999      -37.671366   8.380710  -4.4950 8.657e-06 ***      
                time2000      -37.632959   8.382488  -4.4895 8.876e-06 ***      
                time2001      -37.484648   8.385768  -4.4700 9.688e-06 ***      
                time2002      -37.546677   8.387007  -4.4768 9.399e-06 ***      
                time2003      -37.310912   8.388727  -4.4477 1.071e-05 ***      
                time2004      -37.289702   8.389867  -4.4446 1.086e-05 ***      
                time2005      -37.118123   8.389622  -4.4243 1.189e-05 ***      
                time2006      -36.985575   8.392398  -4.4070 1.284e-05 ***      
                time2007      -36.755193   8.393384  -4.3791 1.453e-05 ***      
                time2008      -36.489090   8.394722  -4.3467 1.676e-05 ***      
                time2009      -36.271154   8.395438  -4.3203 1.881e-05 ***      
                time2010      -36.366219   8.397368  -4.3307 1.798e-05 ***      
                time2011      -36.465660   8.400600  -4.3408 1.719e-05 ***      
                time2012      -36.544372   8.405014  -4.3479 1.667e-05 ***      
                time2013      -36.869022   8.408689  -4.3846 1.418e-05 ***      
                time2014      -36.885409   8.414858  -4.3834 1.426e-05 ***      
                time2015      -37.008182   8.418797  -4.3959 1.349e-05 ***      
                time2016      -36.990017   8.423245  -4.3914 1.376e-05 ***      
                time2017      -37.061289   8.426344  -4.3983 1.335e-05 ***      
                time2018      -37.153417   8.429544  -4.4075 1.281e-05 ***      
                time2019      -37.350464   8.434286  -4.4284 1.167e-05 ***      
                iis27          -1.047117   0.332870  -3.1457 0.0017557 **       
                iis50           1.286100   0.330157   3.8954 0.0001114 ***      
                iis87          -1.222929   0.346798  -3.5263 0.0004602 ***      
                iis98          -1.332508   0.332211  -4.0110 6.971e-05 ***      
                iis99           0.910390   0.332822   2.7354 0.0064529 **       
                iis100         -1.367116   0.331208  -4.1277 4.295e-05 ***      
                iis199          1.047029   0.334116   3.1337 0.0018275 **       
                iis201         -1.269473   0.332470  -3.8183 0.0001513 ***      
                iis202          0.758543   0.335878   2.2584 0.0243527 *        
                iis204          0.848663   0.332641   2.5513 0.0110298 *        
                iis210          0.787348   0.334042   2.3570 0.0188069 *        
                iis242         -1.133783   0.397270  -2.8539 0.0044976 **       
                iis245         -1.103713   0.337411  -3.2711 0.0011453 **       
                iis264          0.720546   0.343412   2.0982 0.0363897 *        
                iis319          1.147975   0.330824   3.4700 0.0005655 ***      
                iis363         -2.154480   0.331024  -6.5085 1.851e-10 ***      
                iis433         -2.241796   0.394397  -5.6841 2.239e-08 ***      
                iis459         -1.469577   0.353191  -4.1609 3.734e-05 ***      
                iis463         -1.514763   0.332340  -4.5579 6.507e-06 ***      
                iis481          0.882110   0.361115   2.4427 0.0149221 *        
                iis487          1.690532   0.336468   5.0243 7.049e-07 ***      
                iis488          1.413685   0.335642   4.2119 3.005e-05 ***      
                iis491          0.785492   0.332870   2.3598 0.0186710 *        
                iis504         -0.930493   0.333101  -2.7934 0.0054157 **       
                iis515         -2.147013   0.341139  -6.2937 6.795e-10 ***      
                iis553         -1.514754   0.343047  -4.4156 1.236e-05 ***      
                iis556         -1.707721   0.341917  -4.9946 8.168e-07 ***      
                fesisAUS.2005  -0.689824   0.147820  -4.6667 3.938e-06 ***      
                fesisAUT.1998  -0.821485   0.242274  -3.3907 0.0007523 ***      
                fesisBRA.2005  -1.050500   0.253718  -4.1404 4.070e-05 ***      
                fesisBRA.2007   0.753360   0.262814   2.8665 0.0043256 **       
                fesisBRA.2014   0.951331   0.190065   5.0053 7.747e-07 ***      
                fesisCHE.2001  -0.711047   0.168361  -4.2233 2.861e-05 ***      
                fesisDNK.2001   0.865366   0.173203   4.9963 8.100e-07 ***      
                fesisESP.2001  -1.172601   0.271251  -4.3229 1.859e-05 ***      
                fesisESP.2003   1.377544   0.243082   5.6670 2.460e-08 ***      
                fesisFIN.1997  -0.886308   0.395576  -2.2406 0.0254944 *        
                fesisFIN.2000  -0.553648   0.249334  -2.2205 0.0268327 *        
                fesisFIN.2012   0.598759   0.158443   3.7790 0.0001765 ***      
                fesisISR.1998   0.611152   0.254783   2.3987 0.0168187 *        
                fesisKOR.2003   0.551689   0.203150   2.7157 0.0068436 **       
                fesisKOR.2007   0.501788   0.187555   2.6754 0.0077086 **       
                fesisNLD.1999  -1.159210   0.240364  -4.8227 1.884e-06 ***      
                fesisNOR.2002  -0.334717   0.167161  -2.0024 0.0457866 *        
                fesisRUS.2001  -0.818205   0.198889  -4.1139 4.551e-05 ***      
                fesisSGP.2001  -1.085356   0.271306  -4.0005 7.279e-05 ***      
                fesisSGP.2003   1.467303   0.293926   4.9921 8.268e-07 ***      
                fesisSGP.2006  -0.642431   0.221173  -2.9047 0.0038396 **       
                fesisSWE.2001  -0.768673   0.165294  -4.6503 4.249e-06 ***      
                fesisTWN.2006   0.833838   0.154361   5.4019 1.023e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value      
                Ljung-Box AR(1)   0.34536  1  0.5567      
                Ljung-Box ARCH(1) 2.14169  1  0.1433      
                                                 
                SE of regression    0.31423      
                R-squared           0.97581      
                Log-lik.(n=600)  -106.28685      

Wind

top_25

Count

0.01

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:36:09 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.2251e-01  1.8448e-02  44.5841 < 2.2e-16 ***      
                gdp            4.0970e-15  4.8825e-15   0.8391 0.4017944          
                pop            3.2816e-08  1.3073e-08   2.5102 0.0123687 *        
                idAUT          6.6082e-01  2.3213e+00   0.2847 0.7760010          
                idBEL          1.6117e-01  2.3191e+00   0.0695 0.9446202          
                idBRA         -6.5129e+00  3.2106e+00  -2.0286 0.0430123 *        
                idCAN          1.0155e+00  2.3240e+00   0.4370 0.6623028          
                idCHE          2.4839e-01  2.3218e+00   0.1070 0.9148436          
                idCHN         -3.1448e+01  1.7071e+01  -1.8422 0.0660106 .        
                idDEU          1.5893e+01  3.3502e+00   4.7439 2.713e-06 ***      
                idDNK          8.4348e+00  2.9717e+00   2.8383 0.0047124 **       
                idESP          4.1764e+00  2.6946e+00   1.5499 0.1217769          
                idFIN         -1.5816e-01  2.3245e+00  -0.0680 0.9457789          
                idFRA          1.2287e+00  2.3857e+00   0.5150 0.6067619          
                idGBR          6.6380e+00  2.4467e+00   2.7131 0.0068873 **       
                idIND         -3.7107e+01  1.5474e+01  -2.3980 0.0168383 *        
                idISR         -3.4910e-02  2.3222e+00  -0.0150 0.9880117          
                idITA          4.2822e-01  2.3665e+00   0.1810 0.8564770          
                idJPN          7.7242e+00  3.7503e+00   2.0596 0.0399312 *        
                idKOR         -5.0360e-01  6.6281e+00  -0.0760 0.9394643          
                idNLD          2.6947e+00  2.3245e+00   1.1593 0.2468829          
                idNOR          1.2616e+00  2.3253e+00   0.5426 0.5876654          
                idRUS         -4.6086e+00  2.8399e+00  -1.6228 0.1052367          
                idSGP          6.4202e-01  2.3256e+00   0.2761 0.7826108          
                idSWE          4.5373e-01  2.3209e+00   0.1955 0.8450820          
                idTWN          7.1667e-01  2.3156e+00   0.3095 0.7570682          
                idUSA         -1.1868e+00  4.8239e+00  -0.2460 0.8057582          
                time1996      -2.4656e+00  2.2871e+00  -1.0781 0.2814995          
                time1997      -3.1883e+00  2.2863e+00  -1.3945 0.1637555          
                time1998      -1.9888e+00  2.2878e+00  -0.8693 0.3850826          
                time1999      -6.0851e-01  2.2864e+00  -0.2661 0.7902379          
                time2000      -1.2903e+00  2.2842e+00  -0.5649 0.5724017          
                time2001       5.0870e-01  2.2839e+00   0.2227 0.8238311          
                time2002      -1.0437e+00  2.2831e+00  -0.4571 0.6477613          
                time2003      -8.3199e-02  2.2840e+00  -0.0364 0.9709559          
                time2004      -1.5463e+00  2.2896e+00  -0.6754 0.4997420          
                time2005      -6.2646e-01  2.2908e+00  -0.2735 0.7846012          
                time2006       3.9723e+00  2.2971e+00   1.7292 0.0843630 .        
                time2007       3.4646e+00  2.3362e+00   1.4830 0.1386823          
                time2008       8.0237e+00  2.3465e+00   3.4195 0.0006767 ***      
                time2009       1.0314e+01  2.3324e+00   4.4222 1.191e-05 ***      
                time2010       3.2565e+00  2.4208e+00   1.3452 0.1791332          
                time2011       5.0091e+00  2.4072e+00   2.0809 0.0379360 *        
                time2012      -4.1809e+00  2.4107e+00  -1.7343 0.0834570 .        
                time2013      -4.4581e+00  2.3839e+00  -1.8701 0.0620383 .        
                time2014      -3.7418e-01  2.3510e+00  -0.1592 0.8736068          
                time2015      -6.0410e-01  2.3389e+00  -0.2583 0.7962879          
                time2016       8.7473e-01  2.3851e+00   0.3667 0.7139610          
                time2017       4.6601e+00  2.3633e+00   1.9719 0.0491496 *        
                time2018      -2.7232e+00  2.3968e+00  -1.1362 0.2564066          
                time2019       1.1705e+00  2.3933e+00   0.4891 0.6250036          
                iis181         3.3154e+01  9.0268e+00   3.6728 0.0002648 ***      
                iis183         1.0114e+02  8.9866e+00  11.2546 < 2.2e-16 ***      
                iis186        -7.7885e+01  9.5901e+00  -8.1213 3.382e-15 ***      
                iis189         5.7938e+01  9.4729e+00   6.1162 1.887e-09 ***      
                iis191         4.5482e+01  9.4732e+00   4.8011 2.067e-06 ***      
                iis192        -4.4129e+01  9.5280e+00  -4.6315 4.596e-06 ***      
                iis204         4.7308e+01  9.1802e+00   5.1532 3.645e-07 ***      
                iis205         6.3269e+01  8.9411e+00   7.0762 4.827e-12 ***      
                iis207         7.7260e+01  8.8628e+00   8.7173 < 2.2e-16 ***      
                iis209        -4.6406e+01  8.9557e+00  -5.1817 3.153e-07 ***      
                iis213         4.9210e+01  8.8796e+00   5.5419 4.765e-08 ***      
                iis215         5.1016e+01  8.8566e+00   5.7603 1.440e-08 ***      
                iis399         6.3747e+01  8.4210e+00   7.5700 1.717e-13 ***      
                iis588         4.2815e+01  1.0576e+01   4.0483 5.946e-05 ***      
                iis590         6.5921e+01  1.0043e+01   6.5636 1.275e-10 ***      
                iis594         6.6143e+01  1.0075e+01   6.5649 1.265e-10 ***      
                iis595        -4.7984e+01  1.0169e+01  -4.7186 3.057e-06 ***      
                iis598         8.8138e+01  1.0046e+01   8.7736 < 2.2e-16 ***      
                fesisDEU.2006  2.8716e+01  5.2238e+00   5.4971 6.062e-08 ***      
                fesisDEU.2013 -1.7982e+01  5.9891e+00  -3.0025 0.0028071 **       
                fesisDNK.2007  2.0277e+01  5.2709e+00   3.8470 0.0001345 ***      
                fesisDNK.2019 -3.2995e+01  8.9119e+00  -3.7023 0.0002365 ***      
                fesisESP.2011  3.4786e+01  6.1843e+00   5.6249 3.037e-08 ***      
                fesisESP.2013 -4.1826e+01  6.5792e+00  -6.3573 4.502e-10 ***      
                fesisJPN.2016 -1.7948e+01  4.5788e+00  -3.9197 0.0001005 ***      
                fesisUSA.2004  2.2393e+01  5.6067e+00   3.9940 7.436e-05 ***      
                fesisUSA.2007  4.9943e+01  8.4543e+00   5.9074 6.292e-09 ***      
                fesisUSA.2011 -9.0798e+01  8.2255e+00 -11.0387 < 2.2e-16 ***      
                fesisUSA.2013  2.5274e+01  8.5865e+00   2.9434 0.0033912 **       
                fesisUSA.2017 -2.5321e+01  8.1983e+00  -3.0886 0.0021190 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value          
                Ljung-Box AR(1)    0.6564  1  0.4178          
                Ljung-Box ARCH(1) 31.8100  1 1.7e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     8.01947      
                R-squared            0.98500      
                Log-lik.(n=600)  -2059.98632      
0.05

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:36:06 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            7.5375e-01  1.6552e-02  45.5378 < 2.2e-16 ***      
                gdp            6.9545e-15  4.2550e-15   1.6344 0.1027828          
                pop            2.3369e-08  1.1678e-08   2.0011 0.0459052 *        
                idAUT          5.3282e-01  2.0215e+00   0.2636 0.7922070          
                idBEL          3.0306e-02  2.0195e+00   0.0150 0.9880328          
                idBRA         -5.2266e+00  2.8285e+00  -1.8478 0.0652031 .        
                idCAN          1.6883e+00  2.0243e+00   0.8340 0.4046789          
                idCHE          2.7166e-02  2.0220e+00   0.0134 0.9892858          
                idCHN         -2.1355e+01  1.5129e+01  -1.4116 0.1586794          
                idDEU          2.0257e+01  2.9340e+00   6.9041 1.502e-11 ***      
                idDNK          6.2938e+00  2.6721e+00   2.3553 0.0188822 *        
                idESP          5.2500e+00  2.3471e+00   2.2368 0.0257297 *        
                idFIN         -4.8974e-01  2.0246e+00  -0.2419 0.8089573          
                idFRA          2.4843e+00  2.0825e+00   1.1929 0.2334475          
                idGBR          7.8512e+00  2.1594e+00   3.6359 0.0003051 ***      
                idIND         -2.5918e+01  1.3817e+01  -1.8758 0.0612459 .        
                idISR         -2.8621e-01  2.0224e+00  -0.1415 0.8875166          
                idITA          1.2828e+00  2.0639e+00   0.6215 0.5345215          
                idJPN          4.2332e+00  3.4547e+00   1.2253 0.2210141          
                idKOR         -2.2347e+00  5.7728e+00  -0.3871 0.6988403          
                idNLD          3.3673e+00  2.0243e+00   1.6634 0.0968397 .        
                idNOR          1.1561e+00  2.0251e+00   0.5709 0.5683378          
                idRUS         -3.7737e+00  2.4923e+00  -1.5142 0.1305971          
                idSGP          5.8848e-01  2.0254e+00   0.2906 0.7715105          
                idSWE          4.6500e-01  2.0210e+00   0.2301 0.8181215          
                idTWN          9.1554e-01  2.0163e+00   0.4541 0.6499676          
                idUSA          2.1220e+00  4.2640e+00   0.4976 0.6189447          
                time1996      -2.3710e+00  1.9909e+00  -1.1909 0.2342412          
                time1997      -3.0313e+00  1.9904e+00  -1.5230 0.1283815          
                time1998      -1.8135e+00  1.9917e+00  -0.9105 0.3629769          
                time1999      -3.4529e-01  1.9907e+00  -0.1734 0.8623701          
                time2000      -8.5562e-01  1.9893e+00  -0.4301 0.6672961          
                time2001       1.0473e+00  1.9894e+00   0.5264 0.5988164          
                time2002      -2.9413e-01  1.9895e+00  -0.1478 0.8825262          
                time2003      -5.9552e-01  2.0096e+00  -0.2963 0.7670942          
                time2004      -7.4105e-01  1.9955e+00  -0.3714 0.7105198          
                time2005       2.5137e-01  1.9969e+00   0.1259 0.8998756          
                time2006       2.8169e+00  2.0131e+00   1.3993 0.1623430          
                time2007       4.2184e+00  2.0365e+00   2.0714 0.0388194 *        
                time2008       9.1287e+00  2.0468e+00   4.4600 1.008e-05 ***      
                time2009       1.1802e+01  2.0537e+00   5.7470 1.562e-08 ***      
                time2010       5.6317e+00  2.1169e+00   2.6604 0.0080502 **       
                time2011       4.2543e+00  2.1305e+00   1.9969 0.0463636 *        
                time2012      -2.4998e+00  2.1091e+00  -1.1853 0.2364589          
                time2013      -9.5863e-01  2.0993e+00  -0.4566 0.6481238          
                time2014       6.1153e-01  2.0588e+00   0.2970 0.7665634          
                time2015       5.2906e-01  2.0399e+00   0.2594 0.7954651          
                time2016       1.0010e+00  2.0710e+00   0.4834 0.6290484          
                time2017       4.6037e+00  2.0650e+00   2.2293 0.0262249 *        
                time2018      -1.6543e+00  2.1047e+00  -0.7860 0.4322314          
                time2019       7.4325e-01  2.0863e+00   0.3563 0.7217977          
                iis181         2.8204e+01  7.8655e+00   3.5858 0.0003683 ***      
                iis183         9.9781e+01  7.8254e+00  12.7509 < 2.2e-16 ***      
                iis186        -7.4116e+01  8.3669e+00  -8.8582 < 2.2e-16 ***      
                iis189         5.6656e+01  8.2481e+00   6.8690 1.882e-11 ***      
                iis191         4.6651e+01  8.2566e+00   5.6501 2.664e-08 ***      
                iis192        -3.9362e+01  8.3017e+00  -4.7414 2.755e-06 ***      
                iis204         3.0527e+01  8.7737e+00   3.4794 0.0005455 ***      
                iis205         5.0858e+01  8.7425e+00   5.8174 1.054e-08 ***      
                iis207         4.7111e+01  1.0156e+01   4.6387 4.458e-06 ***      
                iis209        -7.0865e+01  1.0083e+01  -7.0278 6.728e-12 ***      
                iis210        -4.4597e+01  8.2645e+00  -5.3962 1.043e-07 ***      
                iis213         4.7453e+01  8.2418e+00   5.7576 1.472e-08 ***      
                iis215         7.9816e+01  1.0123e+01   7.8848 1.913e-14 ***      
                iis304         3.8274e+01  7.3077e+00   5.2375 2.381e-07 ***      
                iis392         3.3414e+01  7.3990e+00   4.5160 7.830e-06 ***      
                iis399         5.2167e+01  7.8687e+00   6.6297 8.555e-11 ***      
                iis407        -2.3785e+01  8.2456e+00  -2.8846 0.0040838 **       
                iis588         3.0292e+01  9.2398e+00   3.2785 0.0011146 **       
                iis590         6.4572e+01  8.7503e+00   7.3794 6.467e-13 ***      
                iis594         7.4432e+01  7.9904e+00   9.3152 < 2.2e-16 ***      
                iis595        -3.4823e+01  7.9807e+00  -4.3634 1.550e-05 ***      
                iis598         8.6729e+01  8.7515e+00   9.9102 < 2.2e-16 ***      
                fesisCHN.2016  2.6297e+01  4.1384e+00   6.3543 4.633e-10 ***      
                fesisDEU.2006  3.9936e+01  4.5949e+00   8.6913 < 2.2e-16 ***      
                fesisDEU.2013 -1.8927e+01  5.2178e+00  -3.6275 0.0003149 ***      
                fesisDNK.2006  4.2754e+01  5.7387e+00   7.4501 3.994e-13 ***      
                fesisDNK.2010  2.3110e+01  9.1064e+00   2.5378 0.0114512 *        
                fesisDNK.2013 -3.0341e+01  8.3879e+00  -3.6173 0.0003272 ***      
                fesisDNK.2018 -2.8223e+01  8.3468e+00  -3.3813 0.0007766 ***      
                fesisESP.2011  3.8530e+01  5.3932e+00   7.1441 3.132e-12 ***      
                fesisESP.2013 -4.3070e+01  5.7322e+00  -7.5137 2.582e-13 ***      
                fesisJPN.2010  1.9047e+01  4.0219e+00   4.7358 2.829e-06 ***      
                fesisJPN.2016 -2.0821e+01  5.2281e+00  -3.9825 7.808e-05 ***      
                fesisUSA.2004  2.6095e+01  4.8899e+00   5.3364 1.427e-07 ***      
                fesisUSA.2007  6.4330e+01  7.4058e+00   8.6865 < 2.2e-16 ***      
                fesisUSA.2011 -7.8826e+01  6.2108e+00 -12.6919 < 2.2e-16 ***      
                fesisUSA.2017 -1.7577e+01  6.2794e+00  -2.7991 0.0053175 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value          
                Ljung-Box AR(1)    1.368  1   0.2422          
                Ljung-Box ARCH(1) 23.394  1 1.32e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     6.98270      
                R-squared            0.98878      
                Log-lik.(n=600)  -1973.42483      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:48:04 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                  coef std.error  t-stat   p-value          
                ar1            0.43814   0.03436 12.7514 < 2.2e-16 ***      
                lgdp           1.09074   0.15805  6.9014 1.464e-11 ***      
                lpop          -2.79688   0.60574 -4.6173 4.876e-06 ***      
                idAUT         -0.83775   0.52891 -1.5839 0.1138028          
                idBEL         -0.42772   0.39696 -1.0775 0.2817432          
                idBRA          4.69330   1.27347  3.6854 0.0002516 ***      
                idCAN          1.47218   0.29146  5.0511 6.039e-07 ***      
                idCHE         -1.86730   0.58330 -3.2013 0.0014495 **       
                idCHN          8.82913   2.33808  3.7762 0.0001771 ***      
                idDEU          4.86754   0.82011  5.9352 5.284e-09 ***      
                idDNK         -3.03565   0.82871 -3.6631 0.0002740 ***      
                idESP          3.27505   0.50174  6.5274 1.558e-10 ***      
                idFIN         -1.97760   0.77245 -2.5602 0.0107359 *        
                idFRA          3.31861   0.66509  4.9897 8.193e-07 ***      
                idGBR          3.73809   0.66305  5.6377 2.795e-08 ***      
                idIND          7.15323   2.24496  3.1864 0.0015250 **       
                idISR         -2.56859   0.63694 -4.0327 6.317e-05 ***      
                idITA          3.11236   0.62077  5.0137 7.277e-07 ***      
                idJPN         -1.06834   1.15147 -0.9278 0.3539269          
                idKOR         -4.33127   0.96006 -4.5114 7.923e-06 ***      
                idNLD          0.74523   0.19948  3.7359 0.0002072 ***      
                idNOR         -4.74527   0.95743 -4.9563 9.665e-07 ***      
                idRUS          1.73331   1.10868  1.5634 0.1185506          
                idSGP         -3.00094   0.90934 -3.3001 0.0010310 **       
                idSWE         -2.45989   0.58573 -4.1997 3.131e-05 ***      
                idTWN          0.82545   0.15905  5.1899 2.995e-07 ***      
                idUSA          6.36725   1.50873  4.2203 2.867e-05 ***      
                time1996      16.96773   9.18281  1.8478 0.0651884 .        
                time1997      16.81614   9.18807  1.8302 0.0677750 .        
                time1998      16.87668   9.19187  1.8360 0.0669068 .        
                time1999      17.27189   9.19641  1.8781 0.0609104 .        
                time2000      17.04261   9.20302  1.8519 0.0645991 .        
                time2001      17.22422   9.20797  1.8706 0.0619505 .        
                time2002      17.33954   9.21420  1.8818 0.0604029 .        
                time2003      17.32335   9.22076  1.8787 0.0608253 .        
                time2004      17.45316   9.22360  1.8922 0.0590012 .        
                time2005      17.58550   9.22891  1.9055 0.0572546 .        
                time2006      17.81377   9.23525  1.9289 0.0542742 .        
                time2007      17.90190   9.23816  1.9378 0.0531719 .        
                time2008      18.10723   9.24538  1.9585 0.0506896 .        
                time2009      18.26807   9.25192  1.9745 0.0488378 *        
                time2010      18.15409   9.25732  1.9611 0.0503922 .        
                time2011      18.16340   9.26117  1.9612 0.0503700 .        
                time2012      18.02991   9.26416  1.9462 0.0521548 .        
                time2013      17.82961   9.26728  1.9239 0.0548944 .        
                time2014      17.87331   9.26984  1.9281 0.0543706 .        
                time2015      17.66758   9.27300  1.9053 0.0572817 .        
                time2016      17.86693   9.27640  1.9261 0.0546271 .        
                time2017      17.95444   9.28022  1.9347 0.0535548 .        
                time2018      17.72550   9.28418  1.9092 0.0567701 .        
                time2019      17.69091   9.28644  1.9050 0.0573136 .        
                iis7           1.33841   0.43122  3.1038 0.0020119 **       
                iis31         -1.76300   0.43150 -4.0858 5.067e-05 ***      
                iis53          1.38287   0.42907  3.2229 0.0013462 **       
                iis59         -1.82408   0.42894 -4.2525 2.496e-05 ***      
                iis92          1.31058   0.42895  3.0553 0.0023606 **       
                iis151        -1.42548   0.43459 -3.2801 0.0011056 **       
                iis249         1.22385   0.42975  2.8478 0.0045717 **       
                iis344        -1.29648   0.43015 -3.0140 0.0027005 **       
                iis364        -1.57223   0.42959 -3.6599 0.0002774 ***      
                fesisDNK.2006  0.68326   0.17917  3.8135 0.0001530 ***      
                fesisJPN.1999  1.03461   0.26501  3.9040 0.0001067 ***      
                fesisRUS.2003 -0.90048   0.21148 -4.2581 2.437e-05 ***      
                fesisSGP.2007  1.22964   0.24275  5.0654 5.622e-07 ***      
                fesisSGP.2012 -1.21294   0.24525 -4.9457 1.018e-06 ***      
                fesisSWE.2002 -0.87955   0.20289 -4.3352 1.741e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value         
                Ljung-Box AR(1)   3.9355  1 0.047278 *       
                Ljung-Box ARCH(1) 9.5327  1 0.002018 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.41092      
                R-squared           0.93032      
                Log-lik.(n=600)  -284.74341      
0.05

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:49:55 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.370886  0.032838 11.2945 < 2.2e-16 ***      
                lgdp           0.661756  0.200980  3.2926 0.0010615 **       
                lpop          -2.868005  0.611867 -4.6873 3.559e-06 ***      
                idAUT         -1.677827  0.524878 -3.1966 0.0014770 **       
                idBEL         -1.083330  0.397410 -2.7260 0.0066322 **       
                idBRA          5.188888  1.308219  3.9664 8.344e-05 ***      
                idCAN          1.654339  0.338200  4.8916 1.344e-06 ***      
                idCHE         -2.218840  0.563541 -3.9373 9.387e-05 ***      
                idCHN         10.095856  2.386539  4.2303 2.768e-05 ***      
                idDEU          5.473250  0.854958  6.4018 3.492e-10 ***      
                idDNK         -3.528649  0.851274 -4.1451 3.978e-05 ***      
                idESP          2.660721  0.569918  4.6686 3.884e-06 ***      
                idFIN         -2.781788  0.745418 -3.7319 0.0002115 ***      
                idFRA          3.681914  0.703723  5.2321 2.454e-07 ***      
                idGBR          3.281561  0.721983  4.5452 6.864e-06 ***      
                idIND          8.718280  2.248575  3.8772 0.0001195 ***      
                idISR         -2.795717  0.621269 -4.5000 8.428e-06 ***      
                idITA          3.311883  0.662159  5.0016 7.838e-07 ***      
                idJPN          1.642930  1.306125  1.2579 0.2090169          
                idKOR         -2.064616  1.229800 -1.6788 0.0938002 .        
                idNLD          0.462147  0.223684  2.0661 0.0393274 *        
                idNOR         -4.579633  0.964247 -4.7494 2.656e-06 ***      
                idRUS          3.418061  1.165273  2.9333 0.0035053 **       
                idSGP         -3.965742  0.886767 -4.4721 9.558e-06 ***      
                idSWE         -2.157545  0.596317 -3.6181 0.0003264 ***      
                idTWN          0.658839  0.216024  3.0498 0.0024089 **       
                idUSA          7.852755  1.540743  5.0967 4.880e-07 ***      
                time1996      30.229406  9.289457  3.2542 0.0012129 **       
                time1997      30.043691  9.294934  3.2323 0.0013077 **       
                time1998      30.054168  9.298580  3.2321 0.0013083 **       
                time1999      30.412174  9.305169  3.2683 0.0011550 **       
                time2000      30.204170  9.314288  3.2428 0.0012613 **       
                time2001      30.404856  9.319531  3.2625 0.0011785 **       
                time2002      30.544934  9.324195  3.2759 0.0011251 **       
                time2003      30.502116  9.332486  3.2684 0.0011547 **       
                time2004      30.627056  9.335805  3.2806 0.0011069 **       
                time2005      30.822947  9.340053  3.3001 0.0010343 **       
                time2006      31.130395  9.347951  3.3302 0.0009309 ***      
                time2007      31.208477  9.352533  3.3369 0.0009091 ***      
                time2008      31.448687  9.357791  3.3607 0.0008359 ***      
                time2009      31.585919  9.363957  3.3731 0.0007998 ***      
                time2010      31.508824  9.370643  3.3625 0.0008305 ***      
                time2011      31.532839  9.375018  3.3635 0.0008276 ***      
                time2012      31.407805  9.378126  3.3490 0.0008710 ***      
                time2013      31.203759  9.381117  3.3262 0.0009439 ***      
                time2014      31.239136  9.383491  3.3292 0.0009342 ***      
                time2015      31.074579  9.384578  3.3112 0.0009948 ***      
                time2016      31.234052  9.390124  3.3263 0.0009438 ***      
                time2017      31.373617  9.393589  3.3399 0.0008996 ***      
                time2018      31.084122  9.399553  3.3070 0.0010097 **       
                time2019      31.122878  9.400322  3.3108 0.0009962 ***      
                iis22         -0.865739  0.379299 -2.2825 0.0228732 *        
                iis31         -1.606532  0.380438 -4.2228 2.858e-05 ***      
                iis53          1.448910  0.375395  3.8597 0.0001281 ***      
                iis59         -1.812362  0.375422 -4.8275 1.831e-06 ***      
                iis60          0.836489  0.380577  2.1980 0.0284021 *        
                iis71          1.138681  0.375257  3.0344 0.0025333 **       
                iis72         -0.914621  0.377085 -2.4255 0.0156338 *        
                iis92          1.303021  0.374323  3.4810 0.0005425 ***      
                iis131        -1.198434  0.374325 -3.2016 0.0014522 **       
                iis133        -0.952452  0.373842 -2.5477 0.0111352 *        
                iis151        -1.185341  0.392353 -3.0211 0.0026452 **       
                iis249         1.107884  0.386457  2.8668 0.0043186 **       
                iis267        -1.104303  0.375844 -2.9382 0.0034510 **       
                iis344        -1.304739  0.375742 -3.4724 0.0005597 ***      
                iis356        -0.924472  0.377816 -2.4469 0.0147470 *        
                iis364        -1.513200  0.375270 -4.0323 6.370e-05 ***      
                iis552        -0.851209  0.377729 -2.2535 0.0246529 *        
                iis577        -1.657960  0.377234 -4.3950 1.349e-05 ***      
                fesisAUS.2002  0.901011  0.259384  3.4737 0.0005572 ***      
                fesisAUS.2005 -0.857233  0.237176 -3.6143 0.0003311 ***      
                fesisAUT.2000  0.981341  0.317517  3.0907 0.0021064 **       
                fesisAUT.2002 -0.903707  0.274806 -3.2885 0.0010768 **       
                fesisCHN.2004  0.716281  0.241642  2.9642 0.0031767 **       
                fesisDNK.1998  1.720065  0.448012  3.8393 0.0001389 ***      
                fesisDNK.1999 -1.021433  0.392801 -2.6004 0.0095827 **       
                fesisDNK.2006  0.715876  0.172631  4.1469 3.949e-05 ***      
                fesisESP.1999  1.208207  0.423206  2.8549 0.0044809 **       
                fesisESP.2000 -1.144045  0.423398 -2.7021 0.0071212 **       
                fesisESP.2003  0.741592  0.231991  3.1966 0.0014768 **       
                fesisFIN.2007 -1.058966  0.384801 -2.7520 0.0061349 **       
                fesisFIN.2008  0.873166  0.381552  2.2885 0.0225196 *        
                fesisGBR.2000  0.880233  0.203947  4.3160 1.910e-05 ***      
                fesisIND.2008  0.838407  0.180332  4.6492 4.251e-06 ***      
                fesisJPN.1999  1.152070  0.233667  4.9304 1.112e-06 ***      
                fesisKOR.1998  0.863332  0.276160  3.1262 0.0018720 **       
                fesisNOR.2019  1.017257  0.375232  2.7110 0.0069345 **       
                fesisRUS.2003 -0.736823  0.196662 -3.7466 0.0001997 ***      
                fesisSGP.2007  1.500201  0.218963  6.8514 2.119e-11 ***      
                fesisSGP.2012 -1.194735  0.215179 -5.5523 4.546e-08 ***      
                fesisSWE.2003 -0.757414  0.173776 -4.3586 1.585e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   4.5491  1 0.03294 *      
                Ljung-Box ARCH(1) 4.0607  1 0.04389 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.35794      
                R-squared           0.94960      
                Log-lik.(n=600)  -189.43330      

Ihs Count

0.01

                Formula: ihs_count~ ihs_gdp + ihs_pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Wed Jan 24 16:53:09 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.355453  0.036008  9.8714 < 2.2e-16 ***      
                ihs_gdp        1.193731  0.193529  6.1682 1.366e-09 ***      
                ihs_pop       -3.910027  0.727669 -5.3734 1.157e-07 ***      
                idAUT         -1.727873  0.658422 -2.6243 0.0089327 **       
                idBEL         -1.074141  0.496894 -2.1617 0.0310849 *        
                idBRA          6.822929  1.538852  4.4338 1.125e-05 ***      
                idCAN          2.052983  0.350553  5.8564 8.280e-09 ***      
                idCHE         -2.932637  0.713755 -4.1087 4.604e-05 ***      
                idCHN         13.196583  2.852718  4.6260 4.686e-06 ***      
                idDEU          6.675858  0.991689  6.7318 4.343e-11 ***      
                idDNK         -4.259847  0.990371 -4.3013 2.020e-05 ***      
                idESP          4.315881  0.597156  7.2274 1.715e-12 ***      
                idFIN         -3.428384  0.958420 -3.5771 0.0003790 ***      
                idFRA          4.663467  0.802551  5.8108 1.071e-08 ***      
                idGBR          5.111727  0.797262  6.4116 3.176e-10 ***      
                idIND         10.773209  2.721250  3.9589 8.550e-05 ***      
                idISR         -3.778446  0.772024 -4.8942 1.310e-06 ***      
                idITA          4.318683  0.746378  5.7862 1.229e-08 ***      
                idJPN          0.514387  1.472086  0.3494 0.7269065          
                idKOR         -3.955716  1.224677 -3.2300 0.0013142 **       
                idNLD          0.687822  0.247142  2.7831 0.0055753 **       
                idNOR         -6.462545  1.142853 -5.6547 2.548e-08 ***      
                idRUS          3.464050  1.380159  2.5099 0.0123721 *        
                idSGP         -4.914600  1.122791 -4.3771 1.448e-05 ***      
                idSWE         -3.312836  0.690102 -4.8005 2.059e-06 ***      
                idTWN          0.927851  0.187412  4.9509 9.929e-07 ***      
                idUSA          9.394933  1.845775  5.0900 4.973e-07 ***      
                time1996      34.886187 11.925811  2.9253 0.0035882 **       
                time1997      34.729375 11.933172  2.9103 0.0037615 **       
                time1998      34.787316 11.938085  2.9140 0.0037184 **       
                time1999      35.306396 11.944165  2.9560 0.0032550 **       
                time2000      35.080452 11.953731  2.9347 0.0034828 **       
                time2001      35.293990 11.960129  2.9510 0.0033071 **       
                time2002      35.434891 11.967573  2.9609 0.0032040 **       
                time2003      35.410511 11.973280  2.9575 0.0032394 **       
                time2004      35.642679 11.980305  2.9751 0.0030617 **       
                time2005      35.822297 11.987667  2.9883 0.0029350 **       
                time2006      36.104584 11.996322  3.0096 0.0027394 **       
                time2007      36.222514 12.000278  3.0185 0.0026621 **       
                time2008      36.442758 12.006532  3.0352 0.0025208 **       
                time2009      36.657388 12.014263  3.0512 0.0023931 **       
                time2010      36.557139 12.021604  3.0410 0.0024743 **       
                time2011      36.580546 12.026643  3.0416 0.0024689 **       
                time2012      36.451921 12.030391  3.0300 0.0025643 **       
                time2013      36.217869 12.034306  3.0096 0.0027401 **       
                time2014      36.254408 12.037485  3.0118 0.0027203 **       
                time2015      35.999837 12.041494  2.9896 0.0029219 **       
                time2016      36.242337 12.045715  3.0087 0.0027474 **       
                time2017      36.338379 12.050926  3.0154 0.0026887 **       
                time2018      36.103336 12.056143  2.9946 0.0028757 **       
                time2019      36.044521 12.059004  2.9890 0.0029279 **       
                iis7           1.538356  0.507445  3.0316 0.0025511 **       
                iis31         -2.122629  0.507567 -4.1820 3.379e-05 ***      
                iis53          1.667366  0.504067  3.3078 0.0010037 **       
                iis59         -2.367366  0.504014 -4.6970 3.363e-06 ***      
                iis92          1.604254  0.503973  3.1832 0.0015415 **       
                iis151        -1.850342  0.511577 -3.6169 0.0003265 ***      
                iis249         1.430813  0.505575  2.8301 0.0048293 **       
                iis344        -1.649132  0.505735 -3.2609 0.0011817 **       
                iis364        -1.978573  0.504832 -3.9193 0.0001004 ***      
                fesisDNK.2006  0.669263  0.208945  3.2031 0.0014410 **       
                fesisIND.2008  0.831492  0.225426  3.6885 0.0002487 ***      
                fesisJPN.1999  1.118326  0.311105  3.5947 0.0003549 ***      
                fesisRUS.2004 -1.027241  0.240979 -4.2628 2.388e-05 ***      
                fesisSGP.2007  1.763718  0.289799  6.0860 2.214e-09 ***      
                fesisSGP.2012 -1.420500  0.288458 -4.9245 1.130e-06 ***      
                fesisSWE.2003 -1.068178  0.229401 -4.6564 4.068e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.2127  1 0.1368779          
                Ljung-Box ARCH(1) 11.3929  1 0.0007372 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.48277      
                R-squared           0.92401      
                Log-lik.(n=600)  -380.92839      
0.05

                Formula: ihs_count~ ihs_gdp + ihs_pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Wed Jan 24 16:53:06 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.299135  0.032400  9.2324 < 2.2e-16 ***      
                ihs_gdp        0.849579  0.234595  3.6215 0.0003226 ***      
                ihs_pop       -2.337982  0.788575 -2.9648 0.0031721 **       
                idAUT         -0.374829  0.715778 -0.5237 0.6007409          
                idBEL         -0.489076  0.518848 -0.9426 0.3463277          
                idBRA          3.552442  1.714232  2.0723 0.0387432 *        
                idCAN          1.445934  0.430620  3.3578 0.0008451 ***      
                idCHE         -1.289935  0.754203 -1.7103 0.0878205 .        
                idCHN          7.528002  3.151415  2.3888 0.0172719 *        
                idDEU          4.894689  1.098158  4.4572 1.024e-05 ***      
                idDNK         -1.981986  1.051386 -1.8851 0.0599890 .        
                idESP          3.062034  0.687256  4.4554 1.032e-05 ***      
                idFIN         -1.862488  0.988910 -1.8834 0.0602251 .        
                idFRA          3.914328  0.961325  4.0718 5.416e-05 ***      
                idGBR          3.585132  0.899838  3.9842 7.770e-05 ***      
                idIND          5.602853  2.981451  1.8792 0.0607890 .        
                idISR         -2.220687  0.818640 -2.7127 0.0069030 **       
                idITA          2.848783  0.892181  3.1931 0.0014957 **       
                idJPN          0.079945  1.710791  0.0467 0.9627470          
                idKOR         -2.879062  1.508813 -1.9082 0.0569381 .        
                idNLD          0.800934  0.274241  2.9206 0.0036507 **       
                idNOR         -3.958080  1.214415 -3.2592 0.0011925 **       
                idRUS          1.541642  1.556908  0.9902 0.3225539          
                idSGP         -3.129599  1.170494 -2.6737 0.0077445 **       
                idSWE         -1.716186  0.733519 -2.3397 0.0196908 *        
                idTWN          0.029295  0.293912  0.0997 0.9206430          
                idUSA          6.208687  2.026939  3.0631 0.0023078 **       
                time1996      17.227574 12.969422  1.3283 0.1846728          
                time1997      17.089804 12.980009  1.3166 0.1885628          
                time1998      17.396430 12.981091  1.3401 0.1808049          
                time1999      17.687132 12.989347  1.3617 0.1739121          
                time2000      17.464769 12.996758  1.3438 0.1796245          
                time2001      17.679755 13.004184  1.3595 0.1745823          
                time2002      17.820336 13.010927  1.3696 0.1714080          
                time2003      17.784782 13.019410  1.3660 0.1725417          
                time2004      17.969698 13.029936  1.3791 0.1684729          
                time2005      18.195542 13.030177  1.3964 0.1632040          
                time2006      18.550227 13.039878  1.4226 0.1554775          
                time2007      18.732106 13.043075  1.4362 0.1515736          
                time2008      18.944749 13.053120  1.4514 0.1473024          
                time2009      19.121883 13.058722  1.4643 0.1437355          
                time2010      19.041217 13.065940  1.4573 0.1456516          
                time2011      19.065263 13.071599  1.4585 0.1453186          
                time2012      18.937485 13.075206  1.4484 0.1481408          
                time2013      18.687362 13.080360  1.4287 0.1537220          
                time2014      18.702909 13.085349  1.4293 0.1535371          
                time2015      18.472010 13.085815  1.4116 0.1586832          
                time2016      18.695439 13.091728  1.4280 0.1539013          
                time2017      18.843671 13.095764  1.4389 0.1507958          
                time2018      18.568661 13.102579  1.4172 0.1570493          
                time2019      18.589909 13.105977  1.4184 0.1566833          
                iis22         -1.168793  0.439659 -2.6584 0.0081006 **       
                iis31         -1.990932  0.440801 -4.5166 7.834e-06 ***      
                iis36         -1.164119  0.436282 -2.6683 0.0078699 **       
                iis53          1.646447  0.433987  3.7938 0.0001664 ***      
                iis59         -2.399899  0.433287 -5.5388 4.911e-08 ***      
                iis72         -1.140428  0.435056 -2.6213 0.0090232 **       
                iis92          1.540559  0.432962  3.5582 0.0004087 ***      
                iis98         -1.250923  0.435019 -2.8756 0.0042038 **       
                iis123        -1.475811  0.450806 -3.2737 0.0011343 **       
                iis131        -1.396151  0.439795 -3.1745 0.0015924 **       
                iis133        -0.938697  0.439342 -2.1366 0.0331118 *        
                iis149        -1.123098  0.463999 -2.4205 0.0158527 *        
                iis249         1.315748  0.447752  2.9386 0.0034485 **       
                iis267        -1.381540  0.437426 -3.1583 0.0016819 **       
                iis291        -1.609196  0.434386 -3.7045 0.0002352 ***      
                iis338         1.083044  0.445700  2.4300 0.0154476 *        
                iis344        -1.620517  0.437066 -3.7077 0.0002323 ***      
                iis364        -2.060409  0.474152 -4.3455 1.682e-05 ***      
                iis387        -1.279027  0.519683 -2.4612 0.0141827 *        
                iis410        -1.423181  0.437328 -3.2543 0.0012132 **       
                iis552        -1.169881  0.436897 -2.6777 0.0076548 **       
                iis577        -1.553611  0.435058 -3.5710 0.0003896 ***      
                fesisAUS.2002  1.077504  0.300243  3.5888 0.0003647 ***      
                fesisAUS.2005 -1.186488  0.276345 -4.2935 2.110e-05 ***      
                fesisAUT.1998 -1.304639  0.424270 -3.0750 0.0022191 **       
                fesisAUT.2000  1.862312  0.423673  4.3956 1.348e-05 ***      
                fesisAUT.2002 -1.044474  0.319934 -3.2647 0.0011705 **       
                fesisCHE.2005 -0.432143  0.194281 -2.2243 0.0265690 *        
                fesisCHN.2002 -1.315535  0.359346 -3.6609 0.0002779 ***      
                fesisCHN.2004  1.834330  0.357957  5.1244 4.259e-07 ***      
                fesisDNK.2006  0.704213  0.182274  3.8635 0.0001264 ***      
                fesisFIN.2007 -1.329855  0.445578 -2.9846 0.0029778 **       
                fesisFIN.2008  1.130649  0.441761  2.5594 0.0107757 *        
                fesisFRA.1998 -0.880715  0.316305 -2.7844 0.0055646 **       
                fesisIND.2005  0.854755  0.215090  3.9739 8.102e-05 ***      
                fesisISR.2015 -0.747039  0.241757 -3.0900 0.0021119 **       
                fesisITA.2001 -1.112364  0.473819 -2.3477 0.0192778 *        
                fesisITA.2002  1.040171  0.437526  2.3774 0.0178078 *        
                fesisJPN.1999  1.327598  0.357010  3.7187 0.0002228 ***      
                fesisJPN.2004 -0.638377  0.225963 -2.8251 0.0049135 **       
                fesisRUS.2004 -0.798162  0.224577 -3.5541 0.0004150 ***      
                fesisSGP.2007  1.713685  0.256722  6.6753 6.526e-11 ***      
                fesisSGP.2012 -1.553941  0.251767 -6.1721 1.386e-09 ***      
                fesisSWE.2003 -1.027585  0.202263 -5.0804 5.313e-07 ***      
                fesisTWN.2003  0.785838  0.196477  3.9997 7.294e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                     Chi-sq df p-value        
                Ljung-Box AR(1)   0.0018905  1  0.9653        
                Ljung-Box ARCH(1) 2.9818473  1  0.0842 .      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.41411      
                R-squared           0.94713      
                Log-lik.(n=600)  -274.38201      

Batteries

top_25

Count

0.01

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:10:21 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.6087e-01  1.2790e-02  75.1283 < 2.2e-16 ***      
                gdp           -1.5854e-14  3.1075e-14  -0.5102 0.6101269          
                pop            4.4566e-08  3.8923e-08   1.1450 0.2527330          
                idAUT          2.4996e+00  6.6947e+00   0.3734 0.7090273          
                idBEL         -8.5570e-02  6.6873e+00  -0.0128 0.9897955          
                idBRA         -8.6319e+00  9.3754e+00  -0.9207 0.3576288          
                idCAN          1.6671e+00  6.6993e+00   0.2489 0.8035716          
                idCHE          5.9707e-01  6.6958e+00   0.0892 0.9289800          
                idCHN         -3.2565e+01  5.0332e+01  -0.6470 0.5179085          
                idDEU          2.7644e+01  7.7939e+00   3.5469 0.0004246 ***      
                idDNK         -1.7438e-01  6.7038e+00  -0.0260 0.9792574          
                idESP         -1.7189e+00  6.7343e+00  -0.2552 0.7986325          
                idFIN         -1.6012e-01  6.7035e+00  -0.0239 0.9809530          
                idFRA          6.4706e+00  6.9271e+00   0.9341 0.3506820          
                idGBR          3.0332e+00  6.8684e+00   0.4416 0.6589443          
                idIND         -5.0688e+01  4.5743e+01  -1.1081 0.2683264          
                idISR         -1.8410e-01  6.6972e+00  -0.0275 0.9780807          
                idITA         -1.2798e+00  6.8308e+00  -0.1874 0.8514508          
                idJPN          5.5553e+01  1.8007e+01   3.0850 0.0021423 **       
                idKOR          4.6643e+01  3.1610e+01   1.4755 0.1406634          
                idNLD         -3.0731e-01  6.6775e+00  -0.0460 0.9633107          
                idNOR         -1.1246e-01  6.7071e+00  -0.0168 0.9866284          
                idRUS         -5.1516e+00  8.2849e+00  -0.6218 0.5343381          
                idSGP          1.4691e-01  6.7056e+00   0.0219 0.9825294          
                idSWE          4.2076e-01  6.6923e+00   0.0629 0.9498928          
                idTWN          5.3310e+00  6.7049e+00   0.7951 0.4269187          
                idUSA          3.4254e+01  1.4087e+01   2.4315 0.0153676 *        
                time1996      -3.7431e+00  6.5849e+00  -0.5684 0.5699851          
                time1997      -5.5353e-01  6.5817e+00  -0.0841 0.9330080          
                time1998      -6.0254e+00  6.5826e+00  -0.9154 0.3604187          
                time1999      -3.8021e+00  6.6351e+00  -0.5730 0.5668726          
                time2000      -1.1583e-01  6.5736e+00  -0.0176 0.9859483          
                time2001      -6.0133e+00  6.5731e+00  -0.9148 0.3606990          
                time2002      -1.0101e+01  6.5760e+00  -1.5361 0.1251173          
                time2003      -4.5324e+00  6.5826e+00  -0.6885 0.4914112          
                time2004       6.0162e+00  6.5872e+00   0.9133 0.3614872          
                time2005       2.9836e+00  6.5878e+00   0.4529 0.6508070          
                time2006      -2.8640e+00  6.5931e+00  -0.4344 0.6641790          
                time2007       4.1768e+00  6.6659e+00   0.6266 0.5311980          
                time2008      -4.3484e+00  6.6105e+00  -0.6578 0.5109458          
                time2009       1.2523e+01  6.7413e+00   1.8577 0.0637736 .        
                time2010       1.1329e+01  6.7516e+00   1.6779 0.0939524 .        
                time2011       7.1052e+00  6.7135e+00   1.0583 0.2903849          
                time2012       3.9573e+00  6.7305e+00   0.5880 0.5568055          
                time2013      -7.0121e+00  6.8626e+00  -1.0218 0.3073537          
                time2014      -1.0926e+00  6.7628e+00  -0.1616 0.8717117          
                time2015      -5.0295e+00  6.7739e+00  -0.7425 0.4581286          
                time2016       2.6830e+00  6.7551e+00   0.3972 0.6913975          
                time2017       1.5514e+01  6.8153e+00   2.2763 0.0232281 *        
                time2018       6.3072e+00  6.8467e+00   0.9212 0.3573680          
                time2019      -9.7064e+00  6.8698e+00  -1.4129 0.1582722          
                iis165         2.8801e+02  2.4528e+01  11.7423 < 2.2e-16 ***      
                iis166         1.7086e+02  2.5297e+01   6.7545 3.801e-11 ***      
                iis167         1.6522e+02  2.5952e+01   6.3665 4.212e-10 ***      
                iis168         2.1141e+02  2.6688e+01   7.9215 1.402e-14 ***      
                iis388         1.8243e+02  2.4785e+01   7.3607 7.076e-13 ***      
                iis396         1.6294e+02  2.4784e+01   6.5743 1.178e-10 ***      
                iis398         2.1428e+02  3.0233e+01   7.0877 4.399e-12 ***      
                iis399         6.4409e+02  2.8895e+01  22.2904 < 2.2e-16 ***      
                iis400         4.2163e+02  2.7266e+01  15.4635 < 2.2e-16 ***      
                iis401        -1.0979e+02  2.7752e+01  -3.9562 8.656e-05 ***      
                iis402        -3.4759e+02  2.7586e+01 -12.6005 < 2.2e-16 ***      
                iis408        -5.7904e+02  3.3424e+01 -17.3243 < 2.2e-16 ***      
                iis422         1.6701e+02  2.8654e+01   5.8286 9.747e-09 ***      
                iis423         1.9340e+02  2.7083e+01   7.1410 3.092e-12 ***      
                iis426         1.9885e+02  2.5832e+01   7.6975 6.893e-14 ***      
                iis427        -2.7152e+02  2.5959e+01 -10.4595 < 2.2e-16 ***      
                iis428        -2.7138e+02  2.5561e+01 -10.6169 < 2.2e-16 ***      
                iis594         1.8971e+02  2.4280e+01   7.8138 3.029e-14 ***      
                fesisJPN.2009  6.3661e+01  2.2751e+01   2.7981 0.0053282 **       
                fesisJPN.2017  3.6436e+02  2.7283e+01  13.3546 < 2.2e-16 ***      
                fesisJPN.2018 -2.8327e+02  3.3766e+01  -8.3892 4.514e-16 ***      
                fesisKOR.2009  1.2251e+02  2.4285e+01   5.0445 6.266e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    1.7841  1    0.1817          
                Ljung-Box ARCH(1) 23.5835  1 1.196e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    23.12223      
                R-squared            0.99692      
                Log-lik.(n=600)  -2699.33970      
0.05

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:10:18 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.4508e-01  1.2118e-02  77.9889 < 2.2e-16 ***      
                gdp           -8.5536e-14  4.8028e-14  -1.7810 0.0755195 .        
                pop            2.9709e-07  6.0267e-08   4.9295 1.119e-06 ***      
                idAUT          5.8310e+00  4.9523e+00   1.1774 0.2395786          
                idBEL          2.4709e+00  4.9246e+00   0.5017 0.6160624          
                idBRA         -5.1381e+01  1.1328e+01  -4.5357 7.177e-06 ***      
                idCAN         -8.9409e-01  4.9337e+00  -0.1812 0.8562676          
                idCHE          4.0254e+00  4.9548e+00   0.8124 0.4169328          
                idCHN         -3.5279e+02  7.6932e+01  -4.5857 5.709e-06 ***      
                idDEU         -1.5017e+00  6.9215e+00  -0.2170 0.8283271          
                idDNK          3.7689e+00  4.9748e+00   0.7576 0.4490370          
                idESP         -7.5782e+00  5.0797e+00  -1.4919 0.1363613          
                idFIN          3.7250e+00  4.9752e+00   0.7487 0.4543767          
                idFRA         -3.1601e+00  5.4621e+00  -0.5786 0.5631457          
                idGBR         -6.7190e+00  5.4257e+00  -1.2384 0.2161516          
                idIND         -3.0009e+02  6.2366e+01  -4.8118 1.977e-06 ***      
                idISR          3.3871e+00  4.9599e+00   0.6829 0.4949896          
                idITA         -1.0587e+01  5.3679e+00  -1.9723 0.0491171 *        
                idJPN          6.3804e+01  2.4080e+01   2.6496 0.0083103 **       
                idKOR          2.5610e+02  5.5329e+01   4.6286 4.684e-06 ***      
                idNLD          8.8560e-01  4.8939e+00   0.1810 0.8564723          
                idNOR          4.0587e+00  4.9842e+00   0.8143 0.4158514          
                idRUS         -3.1510e+01  9.1021e+00  -3.4618 0.0005820 ***      
                idSGP          4.2099e+00  4.9830e+00   0.8449 0.3985913          
                idSWE          3.6094e+00  4.9417e+00   0.7304 0.4654830          
                idTWN          5.6810e+00  4.9195e+00   1.1548 0.2487200          
                idUSA         -2.7395e+01  1.6732e+01  -1.6373 0.1021956          
                time1996      -6.3427e+00  4.9230e+00  -1.2884 0.1982069          
                time1997      -3.0755e+00  4.9357e+00  -0.6231 0.5334919          
                time1998      -8.1282e+00  4.9462e+00  -1.6433 0.1009368          
                time1999      -7.6021e+00  5.0003e+00  -1.5203 0.1290543          
                time2000      -8.2580e+00  5.0184e+00  -1.6455 0.1004777          
                time2001      -7.9821e+00  5.0110e+00  -1.5929 0.1118030          
                time2002      -1.0268e+01  5.0344e+00  -2.0395 0.0419171 *        
                time2003      -1.0249e+01  5.0523e+00  -2.0285 0.0430339 *        
                time2004      -3.5761e+00  5.0018e+00  -0.7150 0.4749621          
                time2005      -7.4413e+00  5.0468e+00  -1.4744 0.1409831          
                time2006      -5.4429e+00  5.0025e+00  -1.0880 0.2770994          
                time2007      -8.7195e-01  5.0825e+00  -0.1716 0.8638524          
                time2008      -6.9020e+00  5.0216e+00  -1.3745 0.1699064          
                time2009       4.2914e+00  5.0430e+00   0.8509 0.3951997          
                time2010       3.0767e+00  5.0493e+00   0.6093 0.5425757          
                time2011      -1.9091e+00  5.0533e+00  -0.3778 0.7057437          
                time2012      -5.0351e+00  5.0645e+00  -0.9942 0.3206030          
                time2013      -6.6113e+00  5.1988e+00  -1.2717 0.2040656          
                time2014      -7.6552e+00  5.0919e+00  -1.5034 0.1333583          
                time2015      -4.9464e+00  5.1555e+00  -0.9595 0.3377900          
                time2016      -3.9189e+00  5.0881e+00  -0.7702 0.4415390          
                time2017       8.8828e+00  5.1352e+00   1.7298 0.0842812 .        
                time2018      -2.0824e-02  5.1523e+00  -0.0040 0.9967768          
                time2019      -1.5916e+01  5.1728e+00  -3.0769 0.0022050 **       
                iis165         2.7600e+02  1.8305e+01  15.0783 < 2.2e-16 ***      
                iis166         1.6189e+02  1.8993e+01   8.5238 < 2.2e-16 ***      
                iis167         1.5762e+02  1.9636e+01   8.0269 7.037e-15 ***      
                iis168         2.0538e+02  2.0365e+01  10.0849 < 2.2e-16 ***      
                iis186        -1.4955e+02  1.9010e+01  -7.8666 2.222e-14 ***      
                iis188        -1.6482e+02  1.8943e+01  -8.7008 < 2.2e-16 ***      
                iis388         2.6424e+02  2.1478e+01  12.3024 < 2.2e-16 ***      
                iis389         1.9487e+02  2.1202e+01   9.1910 < 2.2e-16 ***      
                iis394         1.1337e+02  1.9357e+01   5.8568 8.501e-09 ***      
                iis396         1.7196e+02  1.9360e+01   8.8823 < 2.2e-16 ***      
                iis398         1.9752e+02  2.3582e+01   8.3759 5.427e-16 ***      
                iis399         6.3348e+02  2.1986e+01  28.8128 < 2.2e-16 ***      
                iis400         4.2318e+02  1.9979e+01  21.1816 < 2.2e-16 ***      
                iis401        -1.0043e+02  2.0539e+01  -4.8897 1.359e-06 ***      
                iis402        -3.4828e+02  2.0359e+01 -17.1069 < 2.2e-16 ***      
                iis406         3.6850e+02  1.9977e+01  18.4463 < 2.2e-16 ***      
                iis407         9.1660e+01  2.0638e+01   4.4414 1.098e-05 ***      
                iis408        -4.8604e+02  2.0947e+01 -23.2029 < 2.2e-16 ***      
                iis409        -1.7079e+02  2.9997e+01  -5.6934 2.113e-08 ***      
                iis410        -1.7756e+02  2.8815e+01  -6.1621 1.466e-09 ***      
                iis411        -1.9831e+02  2.9881e+01  -6.6365 8.282e-11 ***      
                iis412        -1.6402e+02  2.7742e+01  -5.9123 6.211e-09 ***      
                iis413        -1.6691e+02  2.6252e+01  -6.3579 4.574e-10 ***      
                iis414        -1.2933e+02  2.5563e+01  -5.0595 5.890e-07 ***      
                iis415        -1.7766e+02  2.4777e+01  -7.1705 2.666e-12 ***      
                iis416        -1.3022e+02  2.4558e+01  -5.3025 1.710e-07 ***      
                iis418        -9.1265e+01  2.4575e+01  -3.7138 0.0002269 ***      
                iis420         5.2211e+01  2.1187e+01   2.4643 0.0140592 *        
                iis422         1.2977e+02  2.5629e+01   5.0636 5.773e-07 ***      
                iis423         1.6746e+02  2.2579e+01   7.4164 5.108e-13 ***      
                iis426         1.8256e+02  1.9654e+01   9.2890 < 2.2e-16 ***      
                iis427        -2.7284e+02  1.9481e+01 -14.0056 < 2.2e-16 ***      
                iis428        -2.7919e+02  1.8798e+01 -14.8522 < 2.2e-16 ***      
                iis594         1.8377e+02  1.7857e+01  10.2910 < 2.2e-16 ***      
                fesisDEU.2009  1.0200e+02  1.0461e+01   9.7501 < 2.2e-16 ***      
                fesisDEU.2013 -5.3682e+01  1.1716e+01  -4.5821 5.804e-06 ***      
                fesisIND.2004 -3.5725e+01  1.2105e+01  -2.9513 0.0033117 **       
                fesisIND.2009 -3.7628e+01  1.2236e+01  -3.0751 0.0022177 **       
                fesisJPN.1999 -7.6312e+01  1.6326e+01  -4.6743 3.788e-06 ***      
                fesisJPN.2003  8.4606e+01  1.5016e+01   5.6345 2.918e-08 ***      
                fesisJPN.2009  9.1494e+01  1.9671e+01   4.6512 4.218e-06 ***      
                fesisKOR.2006 -1.7302e+02  2.2464e+01  -7.7021 7.103e-14 ***      
                fesisKOR.2009  2.1736e+02  2.4564e+01   8.8487 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df  p-value         
                Ljung-Box AR(1)   0.017737  1 0.894049         
                Ljung-Box ARCH(1) 8.293489  1 0.003979 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    16.92184      
                R-squared            0.99842      
                Log-lik.(n=600)  -2501.52628      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:18:47 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.246771  0.035776  6.8976 1.517e-11 ***      
                lgdp           1.524934  0.140902 10.8227 < 2.2e-16 ***      
                lpop          -2.921803  0.448591 -6.5133 1.715e-10 ***      
                idAUT         -0.433131  0.367607 -1.1782 0.2392294          
                idBEL         -0.180026  0.279094 -0.6450 0.5191843          
                idBRA          4.262242  0.919723  4.6343 4.518e-06 ***      
                idCAN          2.126291  0.230344  9.2310 < 2.2e-16 ***      
                idCHE         -1.261275  0.412062 -3.0609 0.0023191 **       
                idCHN          9.154788  1.680717  5.4470 7.867e-08 ***      
                idDEU          5.328728  0.609653  8.7406 < 2.2e-16 ***      
                idDNK         -4.060320  0.646981 -6.2758 7.258e-10 ***      
                idESP          2.335836  0.366067  6.3809 3.854e-10 ***      
                idFIN         -1.499006  0.539989 -2.7760 0.0056987 **       
                idFRA          4.299226  0.506224  8.4927 < 2.2e-16 ***      
                idGBR          3.998604  0.496779  8.0491 5.555e-15 ***      
                idIND          5.892144  1.588410  3.7095 0.0002297 ***      
                idISR         -2.183888  0.458376 -4.7644 2.451e-06 ***      
                idITA          3.131585  0.461836  6.7807 3.211e-11 ***      
                idJPN          0.089857  0.771651  0.1164 0.9073415          
                idKOR         -4.925875  0.764412 -6.4440 2.625e-10 ***      
                idNLD          0.988722  0.164286  6.0183 3.299e-09 ***      
                idNOR         -6.103362  0.738629 -8.2631 1.152e-15 ***      
                idRUS          0.144306  0.765375  0.1885 0.8505232          
                idSGP         -2.352583  0.600377 -3.9185 0.0001008 ***      
                idSWE         -3.806505  0.459157 -8.2902 9.423e-16 ***      
                idTWN          1.450542  0.196472  7.3829 6.066e-13 ***      
                idUSA          7.132236  1.091614  6.5337 1.513e-10 ***      
                time1996       7.621103  6.390605  1.1925 0.2335821          
                time1997       7.905832  6.393493  1.2365 0.2168064          
                time1998       7.682641  6.396800  1.2010 0.2302846          
                time1999       7.782462  6.398869  1.2162 0.2244428          
                time2000       7.867763  6.401947  1.2290 0.2196327          
                time2001       7.885478  6.405991  1.2310 0.2188883          
                time2002       7.721645  6.409280  1.2048 0.2288356          
                time2003       7.822894  6.411406  1.2202 0.2229517          
                time2004       7.827165  6.413949  1.2203 0.2228828          
                time2005       7.976289  6.416845  1.2430 0.2144108          
                time2006       8.025372  6.420299  1.2500 0.2118534          
                time2007       8.126669  6.425901  1.2647 0.2065462          
                time2008       8.142272  6.429816  1.2663 0.2059531          
                time2009       8.382291  6.433992  1.3028 0.1932064          
                time2010       8.525861  6.436804  1.3245 0.1858938          
                time2011       8.611992  6.439718  1.3373 0.1816926          
                time2012       8.553862  6.442892  1.3276 0.1848697          
                time2013       8.635493  6.445970  1.3397 0.1809280          
                time2014       8.528237  6.448482  1.3225 0.1865681          
                time2015       8.550074  6.451635  1.3253 0.1856591          
                time2016       8.693603  6.454456  1.3469 0.1785855          
                time2017       8.777364  6.457099  1.3593 0.1746206          
                time2018       8.861575  6.459577  1.3719 0.1706925          
                time2019       8.672866  6.459892  1.3426 0.1799877          
                iis53         -1.190491  0.342138 -3.4796 0.0005437 ***      
                iis94         -1.392602  0.375532 -3.7083 0.0002307 ***      
                iis122        -1.931587  0.342572 -5.6385 2.798e-08 ***      
                iis128        -1.029156  0.342624 -3.0037 0.0027932 **       
                iis145        -1.060056  0.353366 -2.9999 0.0028283 **       
                iis194        -1.999478  0.376969 -5.3041 1.668e-07 ***      
                iis198        -1.073290  0.346056 -3.1015 0.0020284 **       
                iis210        -1.353669  0.345505 -3.9179 0.0001010 ***      
                iis349         1.205247  0.341895  3.5252 0.0004600 ***      
                iis360        -1.211967  0.346907 -3.4936 0.0005165 ***      
                iis461         1.149831  0.342457  3.3576 0.0008429 ***      
                iis467        -1.089619  0.342330 -3.1829 0.0015437 **       
                iis532         1.253746  0.341736  3.6688 0.0002685 ***      
                fesisAUT.2009  0.664445  0.141181  4.7063 3.226e-06 ***      
                fesisBRA.2010 -0.926534  0.177867 -5.2091 2.724e-07 ***      
                fesisBRA.2015  0.909633  0.225222  4.0388 6.169e-05 ***      
                fesisDNK.2001 -0.895692  0.188866 -4.7425 2.720e-06 ***      
                fesisNLD.2007 -0.638959  0.141474 -4.5164 7.764e-06 ***      
                fesisRUS.2007 -0.565524  0.166860 -3.3892 0.0007533 ***      
                fesisRUS.2015 -0.722330  0.193241 -3.7380 0.0002058 ***      
                fesisTWN.2001  0.899113  0.174595  5.1497 3.689e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value      
                Ljung-Box AR(1)   0.37830  1  0.5385      
                Ljung-Box ARCH(1) 0.98856  1  0.3201      
                                                 
                SE of regression    0.32751      
                R-squared           0.97308      
                Log-lik.(n=600)  -145.61293      
0.05

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:18:46 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.217060  0.033255  6.5272 1.626e-10 ***      
                lgdp           1.471397  0.128246 11.4732 < 2.2e-16 ***      
                lpop          -2.404654  0.453296 -5.3048 1.687e-07 ***      
                idAUT         -0.071937  0.381449 -0.1886 0.8504910          
                idBEL          0.118483  0.288253  0.4110 0.6812186          
                idBRA          3.434148  0.943319  3.6405 0.0003000 ***      
                idCAN          1.912122  0.224336  8.5235 < 2.2e-16 ***      
                idCHE         -0.814969  0.426596 -1.9104 0.0566442 .        
                idCHN          7.225439  1.728431  4.1803 3.428e-05 ***      
                idDEU          4.466606  0.630165  7.0880 4.575e-12 ***      
                idDNK         -3.683054  0.644472 -5.7148 1.873e-08 ***      
                idESP          1.886125  0.363451  5.1895 3.054e-07 ***      
                idFIN         -0.696831  0.559270 -1.2460 0.2133513          
                idFRA          3.772906  0.504600  7.4770 3.358e-13 ***      
                idGBR          3.462092  0.495358  6.9891 8.735e-12 ***      
                idIND          4.013521  1.652206  2.4292 0.0154784 *        
                idISR         -1.268750  0.521748 -2.4317 0.0153716 *        
                idITA          2.593900  0.464057  5.5896 3.719e-08 ***      
                idJPN         -0.408358  0.776975 -0.5256 0.5994137          
                idKOR         -4.920756  0.711429 -6.9167 1.395e-11 ***      
                idNLD          0.989840  0.160603  6.1633 1.453e-09 ***      
                idNOR         -5.327133  0.731341 -7.2841 1.243e-12 ***      
                idRUS         -0.784223  0.803218 -0.9764 0.3293549          
                idSGP         -1.676345  0.620250 -2.7027 0.0071083 **       
                idSWE         -3.365730  0.447900 -7.5145 2.597e-13 ***      
                idTWN          1.522214  0.190486  7.9912 9.041e-15 ***      
                idUSA          5.971773  1.113935  5.3610 1.258e-07 ***      
                time1996       0.454989  6.711250  0.0678 0.9459756          
                time1997       0.765371  6.717116  0.1139 0.9093277          
                time1998       0.494340  6.717216  0.0736 0.9413632          
                time1999       0.671126  6.719857  0.0999 0.9204852          
                time2000       0.704421  6.721363  0.1048 0.9165732          
                time2001       0.742334  6.725276  0.1104 0.9121518          
                time2002       0.588826  6.726379  0.0875 0.9302769          
                time2003       0.721597  6.728821  0.1072 0.9146411          
                time2004       0.748190  6.732799  0.1111 0.9115602          
                time2005       0.860526  6.736705  0.1277 0.8984077          
                time2006       0.920436  6.737932  0.1366 0.8913970          
                time2007       0.992220  6.745332  0.1471 0.8831136          
                time2008       1.003973  6.749613  0.1487 0.8818137          
                time2009       1.277431  6.752896  0.1892 0.8500367          
                time2010       1.389912  6.755497  0.2057 0.8370723          
                time2011       1.479893  6.757937  0.2190 0.8267490          
                time2012       1.460775  6.760890  0.2161 0.8290258          
                time2013       1.501795  6.763873  0.2220 0.8243783          
                time2014       1.428886  6.766385  0.2112 0.8328361          
                time2015       1.396493  6.770077  0.2063 0.8366593          
                time2016       1.574094  6.773279  0.2324 0.8163228          
                time2017       1.635346  6.775602  0.2414 0.8093750          
                time2018       1.736205  6.777717  0.2562 0.7979281          
                time2019       1.549970  6.778114  0.2287 0.8192153          
                iis9          -0.828839  0.307578 -2.6947 0.0072780 **       
                iis53         -1.226885  0.308621 -3.9754 8.046e-05 ***      
                iis56         -0.899153  0.308039 -2.9190 0.0036678 **       
                iis94         -1.000809  0.369474 -2.7087 0.0069819 **       
                iis122        -1.908505  0.307573 -6.2051 1.136e-09 ***      
                iis128        -1.037235  0.307268 -3.3757 0.0007927 ***      
                iis145        -1.106686  0.317444 -3.4862 0.0005323 ***      
                iis193         0.902430  0.330813  2.7279 0.0065943 **       
                iis194        -1.675070  0.334136 -5.0131 7.409e-07 ***      
                iis198        -1.657889  0.329114 -5.0374 6.568e-07 ***      
                iis209        -0.935290  0.310041 -3.0167 0.0026838 **       
                iis210        -1.360222  0.311444 -4.3675 1.524e-05 ***      
                iis243         0.777314  0.328233  2.3682 0.0182493 *        
                iis316        -0.727896  0.308234 -2.3615 0.0185772 *        
                iis346        -0.688425  0.310448 -2.2175 0.0270292 *        
                iis349         1.315510  0.309662  4.2482 2.564e-05 ***      
                iis360        -1.185633  0.312482 -3.7942 0.0001659 ***      
                iis437         0.692918  0.314810  2.2011 0.0281801 *        
                iis446        -0.823439  0.311926 -2.6399 0.0085493 **       
                iis461         1.158041  0.307499  3.7660 0.0001853 ***      
                iis467        -1.128416  0.306972 -3.6760 0.0002622 ***      
                iis475        -0.909306  0.306804 -2.9638 0.0031812 **       
                iis490         0.809941  0.316282  2.5608 0.0107303 *        
                iis506        -0.870961  0.312267 -2.7892 0.0054829 **       
                iis532         1.225724  0.306541  3.9986 7.319e-05 ***      
                iis553        -0.735390  0.335585 -2.1914 0.0288786 *        
                fesisAUT.2009  0.693553  0.127573  5.4365 8.452e-08 ***      
                fesisBEL.2016 -0.895130  0.308138 -2.9050 0.0038330 **       
                fesisBEL.2017  0.954425  0.346042  2.7581 0.0060231 **       
                fesisBRA.1999 -0.414610  0.197085 -2.1037 0.0358950 *        
                fesisBRA.2010 -0.874191  0.164699 -5.3078 1.661e-07 ***      
                fesisBRA.2015  1.261740  0.251786  5.0112 7.482e-07 ***      
                fesisBRA.2017 -0.705723  0.300501 -2.3485 0.0192322 *        
                fesisDEU.2007  0.468318  0.132046  3.5466 0.0004263 ***      
                fesisDNK.2004 -0.629291  0.158169 -3.9786 7.941e-05 ***      
                fesisFIN.2002 -0.373449  0.154428 -2.4183 0.0159448 *        
                fesisISR.2002 -0.514473  0.159242 -3.2308 0.0013146 **       
                fesisNLD.2007 -0.522963  0.133170 -3.9270 9.788e-05 ***      
                fesisRUS.2007 -0.434117  0.155367 -2.7941 0.0054006 **       
                fesisRUS.2015 -0.719071  0.173383 -4.1473 3.943e-05 ***      
                fesisTWN.2001  0.777933  0.170876  4.5526 6.639e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                     Chi-sq df  p-value         
                Ljung-Box AR(1)   0.0072035  1 0.932362         
                Ljung-Box ARCH(1) 7.0140103  1 0.008087 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.29335      
                R-squared          0.97922      
                Log-lik.(n=600)  -69.53206      

Ihs Count

0.01

                Formula: ihs_count~ ihs_gdp + ihs_pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Wed Jan 24 16:54:56 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.214918  0.035649  6.0287 3.111e-09 ***      
                ihs_gdp        1.500574  0.155138  9.6725 < 2.2e-16 ***      
                ihs_pop       -2.796951  0.521667 -5.3616 1.236e-07 ***      
                idAUT         -0.410109  0.461047 -0.8895 0.3741305          
                idBEL         -0.561314  0.366352 -1.5322 0.1260810          
                idBRA          3.680102  1.090967  3.3732 0.0007975 ***      
                idCAN          2.211481  0.265776  8.3209 7.527e-16 ***      
                idCHE         -1.100033  0.501603 -2.1930 0.0287409 *        
                idCHN          8.889598  2.021741  4.3970 1.328e-05 ***      
                idDEU          5.382155  0.709528  7.5855 1.508e-13 ***      
                idDNK         -3.878239  0.747724 -5.1867 3.057e-07 ***      
                idESP          2.135712  0.418794  5.0997 4.754e-07 ***      
                idFIN         -1.492968  0.671830 -2.2222 0.0266907 *        
                idFRA          4.336096  0.587135  7.3852 5.989e-13 ***      
                idGBR          4.005578  0.575002  6.9662 9.749e-12 ***      
                idIND          5.454948  1.938593  2.8139 0.0050778 **       
                idISR         -1.958871  0.546333 -3.5855 0.0003677 ***      
                idITA          3.072131  0.538421  5.7058 1.933e-08 ***      
                idJPN          0.283348  0.987100  0.2871 0.7741858          
                idKOR         -4.635802  0.911833 -5.0840 5.142e-07 ***      
                idNLD          1.057073  0.199830  5.2899 1.798e-07 ***      
                idNOR         -6.112452  0.841386 -7.2647 1.353e-12 ***      
                idRUS         -0.323950  0.949678 -0.3411 0.7331527          
                idSGP         -2.832737  0.794495 -3.5655 0.0003963 ***      
                idSWE         -3.676851  0.514506 -7.1464 2.984e-12 ***      
                idTWN          1.446885  0.223622  6.4702 2.239e-10 ***      
                idUSA          7.099045  1.309018  5.4232 8.933e-08 ***      
                time1996       7.479673  8.371992  0.8934 0.3720421          
                time1997       7.847618  8.375631  0.9370 0.3492091          
                time1998       7.580801  8.379368  0.9047 0.3660386          
                time1999       7.706833  8.382553  0.9194 0.3583124          
                time2000       7.823156  8.386989  0.9328 0.3513644          
                time2001       7.863697  8.391398  0.9371 0.3491291          
                time2002       7.652378  8.395506  0.9115 0.3624566          
                time2003       7.770258  8.398757  0.9252 0.3553022          
                time2004       7.721207  8.399458  0.9193 0.3583851          
                time2005       7.879410  8.403327  0.9377 0.3488520          
                time2006       7.990132  8.407682  0.9503 0.3423766          
                time2007       8.086595  8.412829  0.9612 0.3368814          
                time2008       8.149254  8.417535  0.9681 0.3334243          
                time2009       8.355319  8.421850  0.9921 0.3216040          
                time2010       8.516409  8.425260  1.0108 0.3125672          
                time2011       8.613026  8.428797  1.0219 0.3073174          
                time2012       8.548101  8.432500  1.0137 0.3111868          
                time2013       8.644219  8.436378  1.0246 0.3060049          
                time2014       8.525893  8.439758  1.0102 0.3128603          
                time2015       8.568335  8.444924  1.0146 0.3107556          
                time2016       8.716483  8.448572  1.0317 0.3026808          
                time2017       8.810109  8.451935  1.0424 0.2977145          
                time2018       8.905774  8.454988  1.0533 0.2926789          
                time2019       8.708926  8.455108  1.0300 0.3034733          
                iis53         -1.266118  0.420941 -3.0078 0.0027569 **       
                iis94         -1.792676  0.442089 -4.0550 5.771e-05 ***      
                iis122        -2.503894  0.403159 -6.2107 1.071e-09 ***      
                iis128        -1.284534  0.403118 -3.1865 0.0015254 **       
                iis145        -1.342168  0.414779 -3.2359 0.0012889 **       
                iis194        -2.527816  0.443810 -5.6957 2.044e-08 ***      
                iis198        -1.517768  0.406953 -3.7296 0.0002126 ***      
                iis210        -1.766494  0.406486 -4.3458 1.666e-05 ***      
                iis360        -1.400159  0.408687 -3.4260 0.0006604 ***      
                iis461         1.397018  0.403016  3.4664 0.0005705 ***      
                iis467        -1.411873  0.402864 -3.5046 0.0004962 ***      
                iis490         1.205587  0.404213  2.9825 0.0029909 **       
                iis532         1.371353  0.402115  3.4104 0.0006985 ***      
                fesisAUT.2009  0.811632  0.166291  4.8808 1.402e-06 ***      
                fesisBEL.2004  0.512467  0.181508  2.8234 0.0049316 **       
                fesisBRA.2010 -1.016474  0.208479 -4.8757 1.438e-06 ***      
                fesisBRA.2015  1.183452  0.264846  4.4685 9.649e-06 ***      
                fesisDNK.2001 -1.013285  0.221790 -4.5687 6.119e-06 ***      
                fesisNLD.2007 -0.681149  0.165568 -4.1140 4.511e-05 ***      
                fesisRUS.2015 -0.986441  0.208839 -4.7234 2.978e-06 ***      
                fesisSGP.2004  0.750167  0.189099  3.9671 8.283e-05 ***      
                fesisTWN.2001  1.032020  0.204694  5.0418 6.353e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value        
                Ljung-Box AR(1)   0.014765  1 0.90329        
                Ljung-Box ARCH(1) 2.904697  1 0.08832 .      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.38532      
                R-squared           0.96785      
                Log-lik.(n=600)  -242.65659      
0.05

                Formula: ihs_count~ ihs_gdp + ihs_pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Wed Jan 24 16:54:52 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.238885  0.032035  7.4569 3.918e-13 ***      
                ihs_gdp        1.453903  0.142933 10.1719 < 2.2e-16 ***      
                ihs_pop       -3.407728  0.543229 -6.2731 7.648e-10 ***      
                idAUT         -1.131821  0.469295 -2.4117 0.0162342 *        
                idBEL         -1.098898  0.376703 -2.9171 0.0036908 **       
                idBRA          4.991011  1.132645  4.4065 1.285e-05 ***      
                idCAN          2.361827  0.265227  8.9049 < 2.2e-16 ***      
                idCHE         -1.895374  0.518466 -3.6557 0.0002835 ***      
                idCHN         11.414953  2.097509  5.4421 8.245e-08 ***      
                idDEU          6.068067  0.729556  8.3175 8.516e-16 ***      
                idDNK         -5.077506  0.774629 -6.5548 1.385e-10 ***      
                idESP          2.488739  0.428487  5.8082 1.122e-08 ***      
                idFIN         -3.213539  0.744372 -4.3171 1.905e-05 ***      
                idFRA          4.879403  0.603254  8.0885 4.571e-15 ***      
                idGBR          4.536016  0.591355  7.6705 8.963e-14 ***      
                idIND          8.112211  2.011817  4.0323 6.383e-05 ***      
                idISR         -2.664405  0.607592 -4.3852 1.413e-05 ***      
                idITA          3.593424  0.554756  6.4775 2.227e-10 ***      
                idJPN          1.434182  0.950625  1.5087 0.1320115          
                idKOR         -3.996597  0.823991 -4.8503 1.647e-06 ***      
                idNLD          0.693856  0.188764  3.6758 0.0002627 ***      
                idNOR         -7.236381  0.884368 -8.1825 2.302e-15 ***      
                idRUS          0.126221  1.048383  0.1204 0.9042178          
                idSGP         -3.730145  0.821172 -4.5425 6.971e-06 ***      
                idSWE         -4.229070  0.527131 -8.0228 7.353e-15 ***      
                idTWN          1.594485  0.213144  7.4808 3.328e-13 ***      
                idUSA          8.638170  1.352004  6.3892 3.810e-10 ***      
                time1996      19.662513  8.558052  2.2975 0.0219981 *        
                time1997      19.883850  8.561593  2.3224 0.0206078 *        
                time1998      19.602871  8.566670  2.2883 0.0225364 *        
                time1999      19.810936  8.570285  2.3116 0.0212046 *        
                time2000      19.834135  8.572488  2.3137 0.0210874 *        
                time2001      19.896494  8.577127  2.3197 0.0207565 *        
                time2002      19.663561  8.580488  2.2917 0.0223385 *        
                time2003      19.876534  8.583487  2.3157 0.0209783 *        
                time2004      19.885958  8.584500  2.3165 0.0209330 *        
                time2005      20.018230  8.587278  2.3311 0.0201404 *        
                time2006      20.064467  8.591516  2.3354 0.0199165 *        
                time2007      20.187824  8.598218  2.3479 0.0192664 *        
                time2008      20.206517  8.601502  2.3492 0.0192012 *        
                time2009      20.508934  8.604716  2.3835 0.0175219 *        
                time2010      20.613589  8.607283  2.3949 0.0169904 *        
                time2011      20.710684  8.610694  2.4052 0.0165232 *        
                time2012      20.694506  8.614585  2.4023 0.0166562 *        
                time2013      20.748669  8.618265  2.4075 0.0164210 *        
                time2014      20.688169  8.621601  2.3996 0.0167776 *        
                time2015      20.657527  8.625790  2.3949 0.0169925 *        
                time2016      20.809872  8.629389  2.4115 0.0162445 *        
                time2017      20.885521  8.632335  2.4195 0.0158982 *        
                time2018      21.036807  8.635418  2.4361 0.0151930 *        
                time2019      20.830183  8.636936  2.4118 0.0162338 *        
                iis3          -1.073469  0.348207 -3.0829 0.0021630 **       
                iis9          -1.103195  0.347857 -3.1714 0.0016098 **       
                iis53         -1.687517  0.348453 -4.8429 1.707e-06 ***      
                iis56         -1.313397  0.348011 -3.7740 0.0001798 ***      
                iis94         -1.366086  0.417382 -3.2730 0.0011375 **       
                iis122        -2.450707  0.347312 -7.0562 5.712e-12 ***      
                iis123         0.789174  0.355304  2.2211 0.0267882 *        
                iis128        -1.294703  0.347203 -3.7290 0.0002142 ***      
                iis145        -1.473210  0.360525 -4.0863 5.102e-05 ***      
                iis193         0.889892  0.374935  2.3735 0.0179977 *        
                iis194        -2.205299  0.377696 -5.8388 9.449e-09 ***      
                iis198        -2.178984  0.371596 -5.8639 8.207e-09 ***      
                iis209        -1.185470  0.349731 -3.3897 0.0007549 ***      
                iis210        -1.753637  0.351471 -4.9894 8.362e-07 ***      
                iis249        -1.073191  0.346931 -3.0934 0.0020891 **       
                iis313        -1.367035  0.353384 -3.8684 0.0001240 ***      
                iis316        -1.264415  0.349172 -3.6212 0.0003231 ***      
                iis346        -1.109898  0.354519 -3.1307 0.0018454 **       
                iis360        -1.169431  0.356332 -3.2819 0.0011030 **       
                iis437         0.775748  0.355088  2.1847 0.0293751 *        
                iis446        -0.976827  0.351856 -2.7762 0.0057050 **       
                iis461         1.637830  0.352335  4.6485 4.279e-06 ***      
                iis467        -1.231456  0.352505 -3.4934 0.0005190 ***      
                iis475        -1.308331  0.358284 -3.6517 0.0002879 ***      
                iis478         0.894862  0.358604  2.4954 0.0129015 *        
                iis490         0.875649  0.357835  2.4471 0.0147439 *        
                iis506        -0.992889  0.366863 -2.7064 0.0070326 **       
                iis512        -0.857790  0.365731 -2.3454 0.0193944 *        
                iis532         1.346030  0.345749  3.8931 0.0001123 ***      
                iis553        -1.087560  0.379738 -2.8640 0.0043588 **       
                fesisAUT.2009  0.767711  0.143443  5.3520 1.325e-07 ***      
                fesisBEL.2000  0.472561  0.189553  2.4930 0.0129867 *        
                fesisBRA.2010 -0.984474  0.180163 -5.4644 7.328e-08 ***      
                fesisBRA.2015  1.633792  0.284108  5.7506 1.546e-08 ***      
                fesisBRA.2017 -0.845261  0.338795 -2.4949 0.0129193 *        
                fesisDNK.2004 -0.688973  0.178058 -3.8694 0.0001235 ***      
                fesisFIN.1997  1.613184  0.416257  3.8754 0.0001205 ***      
                fesisFIN.1999 -0.906063  0.252572 -3.5873 0.0003668 ***      
                fesisISR.2008  1.152938  0.355498  3.2432 0.0012608 **       
                fesisISR.2009 -1.343795  0.356090 -3.7737 0.0001800 ***      
                fesisNLD.2007 -0.535866  0.149309 -3.5890 0.0003645 ***      
                fesisNOR.2010  0.442994  0.157571  2.8114 0.0051256 **       
                fesisRUS.1997  1.103542  0.361088  3.0562 0.0023613 **       
                fesisRUS.2007 -0.515336  0.175835 -2.9308 0.0035350 **       
                fesisRUS.2015 -0.768806  0.195310 -3.9363 9.441e-05 ***      
                fesisSGP.2004  0.603089  0.182346  3.3074 0.0010092 **       
                fesisTWN.2001  0.766962  0.192114  3.9922 7.523e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df   p-value          
                Ljung-Box AR(1)    0.44324  1 0.5055642          
                Ljung-Box ARCH(1) 13.23776  1 0.0002744 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.33089      
                R-squared           0.97741      
                Log-lik.(n=600)  -138.78953